решите квадратное уравнение. Created by Kritik971. algebra-ru

решите квадратное уравнение...

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решите квадратное уравнение

Physicist0 Решение:
-3х²-х+8=(х-3)²
-3х²-х+8=х²-6х+9=0
-3х²-х+8-х²+6х-9=0
-4х²+5х-1=0
х1,2=(-5+-D)/2*-4
D=√(25-4*-4*-1)=√(25-16)=√9=3
х1,2=(-5+-3)/-8
х1=(-5+3)/-8=-2/-8=1/4
х2=(-5-3)/-8=-8/-8=1

Ответ: х1=1/4; х2=1

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Verified answer

-3х^2-х+8=(х-3)^2
-3х^2-х+8=х^2-6х+9
-3х^2-х^2-х+6х+8-9=0
-4х^2+5х-1=0|*(-1)
4х^2-5х+1=0
х1,2=5+-√25-4*4*1/8=5+-√9/8
х1=1
х2=0,25

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