Найдите корни уравнения x2+4=5x.. Created by welder4r178. algebra-ru

Найдите корни уравнения x2+4=5x...

welder4r178 @welder4r178

July 2022 1 11 Report

Найдите корни уравнения x2+4=5x.

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wasjafeldman

Verified answer

$x^{2}+4=5x

 x^{2}-5x+4=0

D= (-5)^{2}-4*1*4=25-16=9

 x_{1}= \frac{5+ \sqrt{9} }{2*1}= \frac{5+3}{2}=4

 x_{2}= \frac{5- \sqrt{9} }{2*1}= \frac{5-3}{2}=1$

Ответ: $4 ; 1$

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