Question

Помогите решить! Срочно!
(5x-1)²-(x-1)²=32

Answer 1

Ответ:

x1 = -1

x2 = 4/3

Объяснение:

a²-b² = (a-b)(a+b)

(5x-1)²-(x-1)²=32

(5x-1-x+1)(5x-1+x-1) = 32

4x*(6x-2) = 32

24x²-8x-32 = 0 |:8

3x²-x-4 = 0

D = (-1)²-4*3*(-4) = 1+48 = 49 = 7²

x12 = (1±7)/(2*3)

x1 = -1

x2 = 4/3