(x-1)^2 = (x+3)^2
(x-1)(x-1) = (x+3)(x+3)
x^2 - 2x + 1 = x^2 + 6x + 9
Subtract x^2 from both sides:
-2x + 1 = 6x + 9
Add 2x to both sides:
1 = 8x + 9
Subtract 9 from both sides:
-8 = 8x
Divide by 8:
x = -1
Therefore, the solution to the equation (x-1)^2 = (x+3)^2 is x = -1.
(x-1)^2 = (x+3)^2
(x-1)(x-1) = (x+3)(x+3)
x^2 - 2x + 1 = x^2 + 6x + 9
Subtract x^2 from both sides:
-2x + 1 = 6x + 9
Add 2x to both sides:
1 = 8x + 9
Subtract 9 from both sides:
-8 = 8x
Divide by 8:
x = -1
Therefore, the solution to the equation (x-1)^2 = (x+3)^2 is x = -1.