{"id":10921,"date":"2019-07-22T13:08:00","date_gmt":"2019-07-22T10:08:00","guid":{"rendered":"http:\/\/mathland.gr\/?p=10921"},"modified":"2019-07-22T13:08:00","modified_gmt":"2019-07-22T10:08:00","slug":"%ce%b5%cf%80%ce%af%ce%bb%cf%85%cf%83%ce%b7-%ce%b4%ce%b5%cf%85%cf%84%ce%b5%cf%81%ce%bf%ce%b2%ce%ac%ce%b8%ce%bc%ce%b9%ce%b1%cf%82-%ce%b5%ce%be%ce%af%cf%83%cf%89%cf%83%ce%b7%cf%82","status":"publish","type":"post","link":"https:\/\/dpanagiotis.sites.sch.gr\/?p=10921","title":{"rendered":"\u0395\u03c0\u03af\u03bb\u03c5\u03c3\u03b7 \u0394\u03b5\u03c5\u03c4\u03b5\u03c1\u03bf\u03b2\u03ac\u03b8\u03bc\u03b9\u03b1\u03c2 \u0395\u03be\u03af\u03c3\u03c9\u03c3\u03b7\u03c2"},"content":{"rendered":"\n

\u0391\u03c6\u03bf\u03cd \u03b5\u03af\u03b4\u03b1\u03bc\u03b5 \u03c3\u03b5 \u03b8\u03b5\u03c9\u03c1\u03b7\u03c4\u03b9\u03ba\u03cc \u03b5\u03c0\u03af\u03c0\u03b5\u03b4\u03bf \u03c3\u03b5 \u03c0\u03c1\u03bf\u03b7\u03b3\u03bf\u03cd\u03bc\u03b5\u03bd\u03bf \u03ac\u03c1\u03b8\u03c1\u03bf \u03c4\u03bf \u03c0\u03c9\u03c2 \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03b2\u03c1\u03bf\u03cd\u03bc\u03b5 \u03c4\u03b9\u03c2 \u03bb\u03cd\u03c3\u03b5\u03b9\u03c2 \u03bc\u03b9\u03b1\u03c2 \u03b4\u03b5\u03c5\u03c4\u03b5\u03c1\u03bf\u03b2\u03ac\u03b8\u03bc\u03b9\u03b1\u03c2 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7\u03c2, \u03ba\u03b1\u03bb\u03cc \u03b8\u03b1 \u03ae\u03c4\u03b1\u03bd \u03bd\u03b1 \u03c4\u03bf \u03b5\u03c6\u03b1\u03c1\u03bc\u03cc\u03c3\u03bf\u03c5\u03bc\u03b5 \u03ba\u03b1\u03b9 \u03c3\u03c4\u03b7\u03bd \u03c0\u03c1\u03ac\u03be\u03b7. \u0393\u03b9\u03b1 \u03c4\u03bf \u03bb\u03cc\u03b3\u03bf \u03b1\u03c5\u03c4\u03cc \u03b8\u03b1 \u03bb\u03cd\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c0\u03b1\u03c1\u03b1\u03ba\u03ac\u03c4\u03c9 \u03b4\u03cd\u03bf \u03b1\u03c3\u03ba\u03ae\u03c3\u03b5\u03b9\u03c2.<\/p>\n\n\n\n


\u039d\u03b1 \u03b2\u03c1\u03b5\u03af\u03c4\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03c6\u03c5\u03c3\u03b9\u03ba\u03bf\u03cd\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03cd\u03c2 \u03c7 \u03c0\u03bf\u03c5 \u03b9\u03ba\u03b1\u03bd\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bd \u03c4\u03b7 \u03c3\u03c7\u03ad\u03c3\u03b7 \"\frac{2\chi^2+1}2-\frac{2\chi}3=1-\frac{2-x}6\"
\u039b\u03cd\u03c3\u03b7 :
\u03b8\u03b1 \u03c0\u03c1\u03bf\u03c3\u03c0\u03b1\u03b8\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03bd\u03b1 \u03ba\u03ac\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7 \u03c3\u03c7\u03ad\u03c3\u03b7 (\u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7) \u03c0\u03bf\u03c5 \u03bc\u03b1\u03c2 \u03ad\u03c7\u03bf\u03c5\u03bd \u03b4\u03ce\u03c3\u03b5\u03b9 \u03cc\u03c3\u03bf \u03c4\u03bf \u03b4\u03c5\u03bd\u03b1\u03c4\u03cc\u03bd \u03c0\u03b9\u03bf \u03b1\u03c0\u03bb\u03ae \u03be\u03b5\u03ba\u03b9\u03bd\u03ce\u03bd\u03c4\u03b1\u03c2 \u03b1\u03c0\u03cc \u03c4\u03bf \u03bd\u03b1 \u03b4\u03b9\u03ce\u03be\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf\u03c5\u03c2 \u03c0\u03b1\u03c1\u03bf\u03bd\u03bf\u03bc\u03b1\u03c3\u03c4\u03ad\u03c2. \u0391\u03c5\u03c4\u03cc \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9 \u03b1\u03bd \u03c0\u03bf\u03bb\u03bb\u03b1\u03c0\u03bb\u03b1\u03c3\u03b9\u03ac\u03c3\u03bf\u03c5\u03bc\u03b5 \u03cc\u03bb\u03bf\u03c5\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03cc\u03c1\u03bf\u03c5\u03c2 \u03bc\u03b5 \u03c4\u03bf \u0395\u039a\u03a0 \u03c4\u03c9\u03bd \u03c0\u03b1\u03c1\u03bf\u03bd\u03bf\u03bc\u03b1\u03c3\u03c4\u03ce\u03bd 2,3 \u03ba\u03b1\u03b9 6 \u03c0\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c4\u03bf 6 \u03bf\u03c0\u03cc\u03c4\u03b5 \u03c0\u03c1\u03bf\u03ba\u03cd\u03c0\u03c4\u03b5\u03b9:

  <\/span>   <\/span>\"\[\frac{2\chi^2+1}2-\frac{2\chi}3=1-\frac{2-x}6\Leftrightarrow\]\"<\/p>

  <\/span>   <\/span>\"\[6\frac{2\chi^2+1}{2}-6\frac{2\chi}{3}=6\cdot1-6\frac{2-x}{6}\]\"<\/p>
\u03c0\u03bf\u03c5 \u03bc\u03b5\u03c4\u03ac \u03c4\u03b9\u03c2 \u03b1\u03c0\u03bb\u03bf\u03c0\u03bf\u03b9\u03ae\u03c3\u03b5\u03b9\u03c2 \u03b3\u03af\u03bd\u03b5\u03c4\u03b1\u03b9:

  <\/span>   <\/span>\"\[3(2\chi^2+1)-2\cdot2\chi=6-(2-\chi)\]\"<\/p>
\u03c0\u03c1\u03bf\u03c3\u03ad\u03be\u03c4\u03b5 \u03cc\u03c4\u03b9 \u03cc\u03c4\u03b1\u03bd \u03ad\u03bd\u03b1\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03b7\u03c4\u03ae\u03c2 \u03b1\u03c0\u03bf\u03c4\u03b5\u03bb\u03b5\u03af\u03c4\u03b1\u03b9 \u03b1\u03c0\u03cc \u03b4\u03cd\u03bf \u03ae \u03c0\u03b5\u03c1\u03b9\u03c3\u03c3\u03cc\u03c4\u03b5\u03c1\u03bf\u03c5\u03c2 \u03cc\u03c1\u03bf\u03c5\u03c2 \u03b5\u03af\u03bc\u03b1\u03c3\u03c4\u03b5 \u03c5\u03c0\u03bf\u03c7\u03c1\u03b5\u03c9\u03bc\u03ad\u03bd\u03bf\u03b9 \u03bd\u03b1 \u03c4\u03bf\u03bd \u03b2\u03ac\u03bb\u03bf\u03c5\u03bc\u03b5 \u03c3\u03b5 \u03c0\u03b1\u03c1\u03ad\u03bd\u03b8\u03b5\u03c3\u03b7 \u03bc\u03b5\u03c4\u03ac \u03c4\u03b7\u03bd \u03b1\u03c0\u03b1\u03bb\u03bf\u03b9\u03c6\u03ae \u03c4\u03c9\u03bd \u03c0\u03b1\u03c1\u03bf\u03bd\u03bf\u03bc\u03b1\u03c3\u03c4\u03ce\u03bd.
\u03a4\u03ce\u03c1\u03b1 \u03b8\u03b1 \u03b4\u03b9\u03ce\u03be\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b9\u03c2 \u03c0\u03b1\u03c1\u03b5\u03bd\u03b8\u03ad\u03c3\u03b5\u03b9\u03c2 \u03ba\u03ac\u03bd\u03bf\u03bd\u03c4\u03b1\u03c2 \u03b5\u03c0\u03b9\u03bc\u03b5\u03c1\u03b9\u03c3\u03c4\u03b9\u03ba\u03ae \u03b9\u03b4\u03b9\u03cc\u03c4\u03b7\u03c4\u03b1 \u03ba\u03b1\u03b9 \u03c0\u03c1\u03bf\u03c3\u03ad\u03c7\u03bf\u03bd\u03c4\u03b1\u03c2 \u03bc\u03b7 \u03c4\u03c5\u03c7\u03cc\u03bd \u03ba\u03b1\u03b9 \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 “-” \u03ad\u03be\u03c9 \u03b1\u03c0\u03cc \u03ba\u03ac\u03c0\u03bf\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ad\u03bd\u03b8\u03b5\u03c3\u03b7 \u03b3\u03b9\u03b1\u03c4\u03af \u03c4\u03cc\u03c4\u03b5 \u03b8\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b1\u03bb\u03bb\u03ac\u03be\u03bf\u03c5\u03bc\u03b5 \u03c0\u03c1\u03cc\u03c3\u03b7\u03bc\u03b1 \u03c3\u03b5 \u03cc\u03bb\u03bf\u03c5\u03c2 \u03c4\u03bf\u03c5\u03c2 \u03cc\u03c1\u03bf\u03c5\u03c2 \u03c0\u03bf\u03c5 \u03b2\u03c1\u03af\u03c3\u03ba\u03bf\u03bd\u03c4\u03b1\u03b9 \u03bc\u03ad\u03c3\u03b1 \u03c3\u03c4\u03b7 \u03c0\u03b1\u03c1\u03ad\u03bd\u03b8\u03b5\u03c3\u03b7 \u03b1\u03c5\u03c4\u03ae. \u0388\u03c4\u03c3\u03b9 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5,

  <\/span>   <\/span>\"\[3(2\chi^2+1)-2\cdot2\chi=6-(2-\chi)\Leftrightarrow\]\"<\/p>

  <\/span>   <\/span>\"\[6\chi^{2}+3-4\chi=6-2+\chi\]\"<\/p>
\u0388\u03c6\u03c5\u03b3\u03b1\u03bd \u03ba\u03b1\u03b9 \u03bf\u03b9 \u03c0\u03b1\u03c1\u03b5\u03bd\u03b8\u03ad\u03c3\u03b5\u03b9\u03c2 \u03ba\u03b1\u03b9 \u03bc\u03b1\u03c2 \u03bc\u03ad\u03bd\u03b5\u03b9 \u03c4\u03ce\u03c1\u03b1 \u03b7 \u03b1\u03bd\u03b1\u03b3\u03c9\u03b3\u03ae \u03c4\u03c9\u03bd \u03cc\u03bc\u03bf\u03b9\u03c9\u03bd \u03cc\u03c1\u03c9\u03bd. \u0395\u03c0\u03b5\u03b9\u03b4\u03ae \u03cc\u03bc\u03c9\u03c2 \u03c0\u03b1\u03c1\u03b1\u03c4\u03b7\u03c1\u03bf\u03cd\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03b7 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03b5\u03af\u03bd\u03b1\u03b9 2\u03bf\u03c5 \u03b2\u03b1\u03b8\u03bc\u03bf\u03cd (\u03b1\u03c6\u03bf\u03cd \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \u03bf \u03cc\u03c1\u03bf\u03c2 \"6\chi^2\" ) \u03b8\u03b1 \u03c4\u03b1 \u03bc\u03b1\u03b6\u03ad\u03c8\u03bf\u03c5\u03bc\u03b5 \u03cc\u03bb\u03b1 \u03c3\u03c4\u03bf \u03ad\u03bd\u03b1 \u03bc\u03ad\u03bb\u03bf\u03c2, \u03ad\u03c3\u03c4\u03c9 \u03c3\u03c4\u03bf \u03c0\u03c1\u03ce\u03c4\u03bf, \u03ba\u03b1\u03b9 \u03bc\u03b5\u03c4\u03ac \u03b8\u03b1 \u03ba\u03ac\u03bd\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7\u03bd \u03b1\u03bd\u03b1\u03b3\u03c9\u03b3\u03ae.

  <\/span>   <\/span>\"\[6\chi^{2}+3-4\chi=6-2+\chi\Leftrightarrow\]\"<\/p>

  <\/span>   <\/span>\"\[6\chi^{2}+3-4\chi-6+2-\chi=0\Leftrightarrow\]\"<\/p>

  <\/span>   <\/span>\"\[6\chi^2-5\chi-1=0\]\"<\/p> \u0391\u03c0\u03cc \u03b5\u03b4\u03ce \u03ba\u03b1\u03b9 \u03ba\u03ac\u03c4\u03c9 \u03b8\u03b1 \u03b1\u03ba\u03bf\u03bb\u03bf\u03c5\u03b8\u03ae\u03c3\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7 \u03b4\u03b9\u03b1\u03b4\u03b9\u03ba\u03b1\u03c3\u03af\u03b1 \u03c0\u03bf\u03c5 \u03b5\u03af\u03b4\u03b1\u03bc\u03b5 \u03c3\u03c4\u03bf \u03c0\u03c1\u03bf\u03b7\u03b3\u03bf\u03cd\u03bc\u03b5\u03bd\u03bf \u03ac\u03c1\u03b8\u03c1\u03bf. \u03a0\u03b9\u03bf \u03c3\u03c5\u03b3\u03ba\u03b5\u03ba\u03c1\u03b9\u03bc\u03ad\u03bd\u03b1 , \u039e\u03b5\u03ba\u03b1\u03b8\u03b1\u03c1\u03af\u03b6\u03bf\u03c5\u03bc\u03b5 \u03c0\u03bf\u03b9\u03bf\u03b9 \u03b1\u03c1\u03b9\u03b8\u03bc\u03bf\u03af \u03c0\u03b1\u03af\u03b6\u03bf\u03c5\u03bd \u03c4\u03bf \u03c1\u03cc\u03bb\u03bf \u03c4\u03c9\u03bd \u03b1, \u03b2 \u03ba\u03b1\u03b9 \u03b3 \"\alpha=6\", \"\beta=-5\" \u03ba\u03b1\u03b9 \"\gamma=-1\" \u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03b6\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b7 \u0394\u03b9\u03b1\u03ba\u03c1\u03af\u03bd\u03bf\u03c5\u03c3\u03b1

  <\/span>   <\/span>\"\[\Delta=\beta^2-4\alpha\gamma\]\"<\/p>

  <\/span>   <\/span>\"\[\Delta=(-5)^2-4(+6)(-1)\]\"<\/p>

  <\/span>   <\/span>\"\[\Delta=25+24=49\]\"<\/p>
\u0391\u03c6\u03bf\u03cd \u03b7 \u0394\u03b9\u03b1\u03ba\u03c1\u03af\u03bd\u03bf\u03c5\u03c3\u03b1 \u03bc\u03b1\u03c2 \u03c0\u03c1\u03bf\u03ad\u03ba\u03c5\u03c8\u03b5 \u03b8\u03b5\u03c4\u03b9\u03ba\u03ae, \u03b3\u03bd\u03c9\u03c1\u03af\u03b6\u03bf\u03c5\u03bc\u03b5 \u03cc\u03c4\u03b9 \u03b7 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03b8\u03b1 \u03ad\u03c7\u03b5\u03b9 2 \u03b4\u03b9\u03b1\u03c6\u03bf\u03c1\u03b5\u03c4\u03b9\u03ba\u03ad\u03c2 \u03bb\u03cd\u03c3\u03b5\u03b9\u03c2 \u03c4\u03b9\u03c2 \u03bf\u03c0\u03bf\u03af\u03b5\u03c2 \u03ba\u03b1\u03b9 \u03b8\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03c3\u03bf\u03c5\u03bc\u03b5 \u03b1\u03c0\u03cc \u03c4\u03bf\u03c5\u03c2 \u03b3\u03bd\u03c9\u03c3\u03c4\u03bf\u03cd\u03c2 \u03c4\u03cd\u03c0\u03bf\u03c5\u03c2 \u03a5\u03c0\u03bf\u03bb\u03bf\u03b3\u03af\u03b6\u03bf\u03c5\u03bc\u03b5 \u03c4\u03b9\u03c2 \u03bb\u03cd\u03c3\u03b5\u03b9\u03c2

  <\/span>   <\/span>\"\[\chi_1,\chi_2=\frac{-\beta\pm\sqrt{\Delta}}{2\alpha}\]\"<\/p>

  <\/span>   <\/span>\"\[\chi_1,\chi_2=\frac{-(-5)\pm\sqrt{49}}{2(+6)}\]\"<\/p>

  <\/span>   <\/span>\"\[\chi_1,\chi_2=\frac{5\pm7}{12}\]\"<\/p>
\u03ac\u03c1\u03b1 \"\chi_1=\frac{5+7}{12}\" \u03ae \"\chi_2=\frac{5-7}{12}\"
\u03b5\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2 \"\chi_1=\frac{12}{12}=1\" \u03ae \"\chi_2=\frac{-2}{12}=-\frac{1}{6}\"<\/p>\n\n\n\n

\u0388\u03c4\u03c3\u03b9 \u03bb\u03bf\u03b9\u03c0\u03cc\u03bd \u03ba\u03b1\u03c4\u03b1\u03bb\u03ae\u03be\u03b1\u03bc\u03b5 \u03c3\u03c4\u03bf \u03cc\u03c4\u03b9 \u03b7 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \"\frac{2\chi^2+1}2-\frac{2\chi}3=1-\frac{2-x}6\" \u03ad\u03c7\u03b5\u03b9 \u03bb\u03cd\u03c3\u03b7 \u03c4\u03bf\u03bd \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc 1 \u03ae \u03c4\u03bf\u03bd -1\/6. \u0391\u03bb\u03bb\u03ac \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 -1\/6 \u03b4\u03b5\u03bd \u03b5\u03af\u03bd\u03b1\u03b9 \u03c6\u03c5\u03c3\u03b9\u03ba\u03cc\u03c2 \u03ba\u03b9 \u03b5\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2 \u03b4\u03b5\u03bd \u03bc\u03c0\u03bf\u03c1\u03bf\u03cd\u03bc\u03b5 \u03bd\u03b1 \u03c4\u03bf\u03bd \u03c3\u03c5\u03bc\u03c0\u03b5\u03c1\u03b9\u03bb\u03ac\u03b2\u03bf\u03c5\u03bc\u03b5 \u03c3\u03c4\u03b7\u03bd \u03b1\u03c0\u03ac\u03bd\u03c4\u03b7\u03c3\u03ae \u03bc\u03b1\u03c2 \u03b7 \u03bf\u03c0\u03bf\u03af\u03b1 \u03b8\u03b1 \u03c0\u03c1\u03ad\u03c0\u03b5\u03b9 \u03bd\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9:
\u039f \u03c6\u03c5\u03c3\u03b9\u03ba\u03cc\u03c2 \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 \u03c0\u03bf\u03c5 \u03b9\u03ba\u03b1\u03bd\u03bf\u03c0\u03bf\u03b9\u03b5\u03af \u03c4\u03b7 \u03c3\u03c7\u03ad\u03c3\u03b7 \"\frac{2\chi^2+1}2-\frac{2\chi}3=1-\frac{2-x}6\" \u03b5\u03af\u03bd\u03b1\u03b9 \u03bf \u03b1\u03c1\u03b9\u03b8\u03bc\u03cc\u03c2 1.<\/p>\n\n\n

[nextpage title=”\u0395\u03c0\u03cc\u03bc\u03b5\u03bd\u03b7 \u0386\u03c3\u03ba\u03b7\u03c3\u03b7”]<\/p>\n\n\n\n

\u039d\u03b1 \u03c5\u03c0\u03bf\u03bb\u03bf\u03b3\u03b9\u03c3\u03c4\u03b5\u03af \u03b7 \u03c5\u03c0\u03bf\u03c4\u03b5\u03af\u03bd\u03bf\u03c5\u03c3\u03b1 \u03bf\u03c1\u03b8\u03bf\u03b3\u03c9\u03bd\u03af\u03bf\u03c5 \u03c4\u03c1\u03b9\u03b3\u03ce\u03bd\u03bf\u03c5 \u03c0\u03bf\u03c5 \u03bf\u03b9 \u03ba\u03ac\u03b8\u03b5\u03c4\u03b5\u03c2 \u03c0\u03bb\u03b5\u03c5\u03c1\u03ad\u03c2 \u03c4\u03bf\u03c5 \u03b5\u03af\u03bd\u03b1\u03b9 \u03c1\u03af\u03b6\u03b5\u03c2 \u03c4\u03b7\u03c2 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7\u03c2 \"y^2-2y=-1\"
\u039b\u03cd\u03c3\u03b7 :
\u03a0\u03c1\u03ce\u03c4\u03b1 \u03b1\u03c0’ \u03cc\u03bb\u03b1 \u03b8\u03b1 \u03b2\u03c1\u03bf\u03cd\u03bc\u03b5 \u03c4\u03b9\u03c2 \u03c1\u03af\u03b6\u03b5\u03c2 (\u03bb\u03cd\u03c3\u03b5\u03b9\u03c2) \u03c4\u03b7\u03c2 \u03b4\u03b5\u03c5\u03c4\u03b5\u03c1\u03bf\u03b2\u03ac\u03b8\u03bc\u03b9\u03b1\u03c2 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7\u03c2

  <\/span>   <\/span>\"\[y^2-2y=-1\Leftrightarrow\]\"<\/p>

  <\/span>   <\/span>\"\[y^2-2y+1=0\]\"<\/p>
\"\alpha=1,\beta=-2,\gamma=1\" \u03ac\u03c1\u03b1

  <\/span>   <\/span>\"\[\Delta=\beta^2-4\alpha\cdot\gamma=(-2)^2-4(1)(1)=4-4=0\]\"<\/p>
\u03b1\u03c6\u03bf\u03cd \u03b7 \u03b4\u03b9\u03b1\u03ba\u03c1\u03af\u03bd\u03bf\u03c5\u03c3\u03b1 \u03b5\u03af\u03bd\u03b1\u03b9 \u03af\u03c3\u03b7 \u03bc\u03b5 0 \u03b7 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03ae \u03bc\u03b1\u03c2 \u03ad\u03c7\u03b5\u03b9 \u03b4\u03cd\u03bf \u03af\u03c3\u03b5\u03c2 \u03bb\u03cd\u03c3\u03b5\u03b9\u03c2 \u03c4\u03b9\u03c2

  <\/span>   <\/span>\"\[y_1=y_2=\frac{-\beta}{2\alpha}=\frac{2}{2}=1\]\"<\/p>
\u03a0\u03ac\u03bc\u03b5 \u03c4\u03ce\u03c1\u03b1 \u03c3\u03c4\u03bf \u03bf\u03c1\u03b8\u03bf\u03b3\u03ce\u03bd\u03b9\u03bf \u03c4\u03c1\u03af\u03b3\u03c9\u03bd\u03bf \u03b3\u03b9\u03b1 \u03c4\u03bf \u03bf\u03c0\u03bf\u03af\u03bf \u03b3\u03bd\u03c9\u03c1\u03af\u03b6\u03bf\u03c5\u03bc\u03b5 \u03c4\u03bf \u03bc\u03ae\u03ba\u03bf\u03c2 \u03c4\u03c9\u03bd \u03ba\u03ac\u03b8\u03b5\u03c4\u03c9\u03bd \u03c0\u03bb\u03b5\u03c5\u03c1\u03ce\u03bd \u03c4\u03bf\u03c5 \u03cc\u03c4\u03b9 \u03b5\u03af\u03bd\u03b1\u03b9 1 \u03ba\u03b1\u03b9 1 (\u03b5\u03af\u03bd\u03b1\u03b9 \u03b9\u03c3\u03bf\u03c3\u03ba\u03b5\u03bb\u03ad\u03c2) \u03ba\u03b1\u03b9 \u03b8\u03ad\u03bb\u03bf\u03c5\u03bc\u03b5 \u03bd\u03b1 \u03b2\u03c1\u03bf\u03cd\u03bc\u03b5 \u03c4\u03bf \u03bc\u03ae\u03ba\u03bf\u03c2 \u03c4\u03b7\u03c2 \u03c5\u03c0\u03bf\u03c4\u03b5\u03af\u03bd\u03bf\u03c5\u03c3\u03ac\u03c2 \u03c4\u03bf\u03c5. \u0393\u03b9\u03b1 \u03c4\u03bf \u03bb\u03cc\u03b3\u03bf \u03b1\u03c5\u03c4\u03cc \u03c7\u03c1\u03b7\u03c3\u03b9\u03bc\u03bf\u03c0\u03bf\u03b9\u03bf\u03cd\u03bc\u03b5 \u03c4\u03bf \u03a0\u03c5\u03b8\u03b1\u03b3\u03cc\u03c1\u03b5\u03b9\u03bf \u03b8\u03b5\u03ce\u03c1\u03b7\u03bc\u03b1<\/a>.
\u03a0\u03c1\u03ac\u03b3\u03bc\u03b1\u03c4\u03b9 \u03ad\u03c3\u03c4\u03c9 x \u03b7 \u03c5\u03c0\u03bf\u03c4\u03b5\u03af\u03bd\u03bf\u03c5\u03c3\u03b1, \u03c4\u03cc\u03c4\u03b5 \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5:

  <\/span>   <\/span>\"\[x^2=1^2+1^2\Leftrightarrow\]\"<\/p>

  <\/span>   <\/span>\"\[x^2=2\]\"<\/p> \u03ba\u03b9 \u03ad\u03c4\u03c3\u03b9

  <\/span>   <\/span>\"\[x=\sqrt{2}\]\"<\/p><\/p>\n","protected":false},"excerpt":{"rendered":"

\u039b\u03cd\u03bd\u03bf\u03c5\u03bc\u03b5 \u03b4\u03cd\u03bf \u03b5\u03be\u03b9\u03c3\u03ce\u03c3\u03b5\u03b9\u03c2 \u03b4\u03b5\u03cd\u03c4\u03b5\u03c1\u03bf\u03c5 \u03b2\u03b1\u03b8\u03bc\u03bf\u03cd. \u039c\u03b9\u03b1 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7 \u03c0\u03bf\u03c5 \u03b1\u03c0\u03b1\u03b9\u03c4\u03b5\u03af \u03cc\u03bb\u03b1 \u03c4\u03b1 \u03b2\u03ae\u03bc\u03b1\u03c4\u03b1 \u03c4\u03b7\u03c2 \u03bc\u03b5\u03b8\u03bf\u03b4\u03bf\u03bb\u03bf\u03b3\u03af\u03b1\u03c2 \u03c0\u03bf\u03c5 \u03bc\u03ac\u03b8\u03b1\u03bc\u03b5 \u03c3\u03b5 \u03c0\u03c1\u03bf\u03b7\u03b3\u03bf\u03cd\u03bc\u03b5\u03bd\u03bf \u03ac\u03c1\u03b8\u03c1\u03bf \u03ba\u03b1\u03b9 \u03ad\u03bd\u03b1 \u03c0\u03c1\u03cc\u03b2\u03bb\u03b7\u03bc\u03b1 \u03c0\u03bf\u03c5 \u03b1\u03c0\u03b1\u03b9\u03c4\u03b5\u03af \u03b5\u03c0\u03af\u03bb\u03c5\u03c3\u03b7 \u03b5\u03be\u03af\u03c3\u03c9\u03c3\u03b7\u03c2 \u03b4\u03b5\u03cd\u03c4\u03b5\u03c1\u03bf\u03c5 \u03b2\u03b1\u03b8\u03bc\u03bf\u03cd.<\/p>\n","protected":false},"author":2,"featured_media":15777,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[8,12],"tags":[57],"class_list":["post-10921","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-algebra","category-cgymn","tag-equation"],"_links":{"self":[{"href":"https:\/\/dpanagiotis.sites.sch.gr\/index.php?rest_route=\/wp\/v2\/posts\/10921","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/dpanagiotis.sites.sch.gr\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/dpanagiotis.sites.sch.gr\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/dpanagiotis.sites.sch.gr\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/dpanagiotis.sites.sch.gr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=10921"}],"version-history":[{"count":0,"href":"https:\/\/dpanagiotis.sites.sch.gr\/index.php?rest_route=\/wp\/v2\/posts\/10921\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/dpanagiotis.sites.sch.gr\/index.php?rest_route=\/wp\/v2\/media\/15777"}],"wp:attachment":[{"href":"https:\/\/dpanagiotis.sites.sch.gr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=10921"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/dpanagiotis.sites.sch.gr\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=10921"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/dpanagiotis.sites.sch.gr\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=10921"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}