Question

решите уравнение: б)(x-2)²-5x(x-2)=0​

Answer 1

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

- 4$x^{2}$ + 6x + 4 = 0

Делим на - 2:

2$x^{2}$ - 3x - 2 = 0

D = 9 + 4 * 2 * 2 = 9 + 16 = 25

$x_{1\\}$ = $\frac{3 + \sqrt{D} }{2 * 2}$ = 4

$x_{2}$ = $\frac{3 - \sqrt{D} }{2 * 2}$ = - 0,5