Решить уравнение 1/2(x-8)+0,5(x-20)+x=x/2. Created by Belgorodov33. matematika-ru

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viktorznaetBce √(5x+20) - √(x+8 )= 2
√(5x+20) = 2+√(x+8)
5x+20 = 4+ 4√(x+8) + x + 8
5x+20-4-x-8= 4√(x+8)
4x+8=4√(x+8)
16x^2+64x+64-16x-128=0
16x^2+48x-64=0
x^2+3x-4=0
x(1)=4
x(2)=-1

1 votes Thanks 1

Lerqa 0,5(х-8)+0,5(х-20)+х=х/2 - умножаем на 2, чтобы убрать дроби.
х-8+х-20+х=х
2х=28
х=14

2 votes Thanks 1

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