Решите уравнение: x^2+2-|x-3|-5x=0. Created by ynasha87. algebra-ru

Решите уравнение: x^2+2-|x-3|-5x=0...

ynasha87 @ynasha87

July 2022 1 9 Report

Решите уравнение: x^2+2-|x-3|-5x=0

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mikael2

Verified answer

1. x≥3 ⇒x²+2-x+3-5x=x²-6x+5=0 виетт x=1 x=5 x≥3 ⇒x=5
2. x<3 x²+2+x-3-5x=x²-4x-1=0 x=0.5(4-√D) x=0.5(4+√D) D=16+4=20
√D=√20=2√5 x=0.5(4-2√5)=2-√5 x=2+√5 x<3 ⇒x=2-√5

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