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
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