a) (x-2)^2 = 9(x-2)(x-2) = 9Expanding the left side:x^2 - 4x + 4 = 9Subtracting 9 from both sides:x^2 - 4x - 5 = 0Factoring:(x-5)(x+1) = 0Setting each factor to 0:x-5 = 0 or x+1 = 0x = 5 or x = -1
Ответ: x = 5 or x = -1.
a) (x-2)^2 = 9
(x-2)(x-2) = 9
Expanding the left side:
x^2 - 4x + 4 = 9
Subtracting 9 from both sides:
x^2 - 4x - 5 = 0
Factoring:
(x-5)(x+1) = 0
Setting each factor to 0:
x-5 = 0 or x+1 = 0
x = 5 or x = -1
Ответ: x = 5 or x = -1.