Question

Решите уравнение х^2-4.5х/х-4=х-8/2х-8

Answer 1

$\frac{x^2 -4,5x}{x-4} = \frac{x-8}{2x-8}$

$\frac{x^2 - 4,5x}{x-4} = \frac{x-8}{2(x-4)}$

$2(x^2-4,5x) = {x-8}$

$2x^2 - 9x = x-8$

$2x^2 - 10x + 8 = 0 |:2$

$x^2-5x + 4 = 0$

D = 25 - 16 = 9

x₁ = (5 + 3) / 2 = 4
x₂ = (5 - 3) / 2 = 1