(x-4)²+3(x+2)²=(2x-3)²Решить уравнение с проверкой. Created by BelBed. algebra-ru

(x-4)²+3(x+2)²=(2x-3)²Решить уравнение с проверкой...

August 2022 2 9 Report

(x-4)²+3(x+2)²=(2x-3)²
Решить уравнение с проверкой

Verified answer

(x-4)²+3(x+2)²=(2x-3)²
x²-8x+16+3(x²+4x+4)=4x²-12x+9
x²-8x+16+3x²+12x+12=4x²-12x+9
x²-8x+3x²+12x-4x²+12x=9-12-16
16x=-19|:16
x=-1 3/16

1 votes Thanks 1

sedinalana X²-8x+16+3x²+12x+12-4x²+12x-9=0
16x=-19
x=-19/16
Проверка
(-19/16-4)²+3*(-19/16+2)²=(-83/16)²+3*(13/16)²=6889/256+3*169/256=
=6889/256+507/256=7396/256=28 228/256=28 57/64
(-19/16*2-3)²=(-19/8-3)²=(-43/8)²=1849/64=28 57/64

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