Question

Решить уравнение :
(3-2х)(6х-1)=(2х-3)²

Answer 1

(3-2х)(6х-1)=(2х-3)²
-(2x-3)(6х-1)-(2х-3)²=0
(2x-3)(-6x+1-2x+3)=0
(2х-3)(4-8x)=0
2x-3=0, 4-8x=0
x=1,5; x=0,5

Answer 2

(3-2х)(6х-1)=(2х-3)²
18x-3-12x²+2х=4х²-12x+9
18x-3-12x²+2х-4х²+12x-9=0
-16x²+32х-12=0
16х²-32x+12=0
4x²-8х+3х=0
D/4=16-12=4
√D/4=2
x₁=4+2/4=1,5
х₂=4-2/2=1

Answer 3

4-2/4=0,5