Question

Решите уранение:
1) 5x(x-2)-2x+4-4x(x-2)=0

Answer 1

$5x(x - 2) - 2x + 4 - 4x(x - 2) = 0$

$5x {}^{2} - 10x {} - 2x + 4 - 4x(x - 2) = 0$

$5x {}^{2} - 12x {}^{2} + 4 - 4x(x - 2) = 0$

$5x {}^{2} - 12x + 4 - 4x {}^{2} + 8x = 0$

$x {}^{2} - 12x + 4 + 8x = 0$

$x {}^{2} - 4x + 4 = 0$

$a + b = - 4$

$ab = 4$

$- 1. - 4$

$- 2. - 2$

$- 1 - 4 = - 5$

$- 2 - 2 = - 4$

$a = - 2$

$b = - 2$

$(x - 2)(x - 2)$

$(x - 2 {)}^{2}$

$x = 2$