4x(16-8x+x^2)=7(4-x)помогите с уравнением. Created by dnooooo1. algebra-ru

4x(16-8x+x^2)=7(4-x)помогите с уравнением...

July 2022 2 0 Report

4x(16-8x+x^2)=7(4-x)
помогите с уравнением

Verified answer

4x (4 - x)^2 - 7(4 - x) = 0
(4 - x)(4x (4 - x) - 7) = 0

1) 4 - x = 0
- x = - 4
x = 4

2) 16x - 4x^2 - 7 = 0
4x^2 - 16x + 7 = 0
D = 144 = 12^2
x2 = ( 16 + 12)/8 = 3,5
x3 = ( 16 - 12)/8 = 0,5

Ответ
0.5; 3.5; 4

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