Question

$frac{2 x^{2} -5x+2}{ x^{2} -4x+4} =$ скоротіть дріб

Answer 1

2х²-5х+2=0
D=25-16=9
√D=3

x1=(5-3)/4=2/4=0.5
x2=(5+3)/4=8/4=2
2x²-5x+2=2(x-0.5)(x-2)

x²-4x+4=0
D=16-16=0
x1=x2=4/2=2
x²-4x+4=(x-2)(x-2)

$frac{2 x^{2} -5x+2}{ x^{2} -4x+4} = frac{2(x-0.5)(x-2)}{(x-2)(x-2)} = frac{2(x-0.5)}{x-2} = frac{2x-1}{x-2}$

Answer 2

Успехов!

Answer 3

взаимно:)