(x-1)^2 + 16 = (x+2)^2Expanding both sides:
x^2 - 2x + 1 + 16 = x^2 + 4x + 4Combine like terms:
x^2 - 2x + 17 = x^2 +4x + 4
Subtract x^2 from both sides:
-2x + 17 = 4x + 4
Subtract 4x from both sides:
-6x + 17 = 4
Subtract 17 from both sides:
-6x = -13
Divide by -6:
x = 13/6
Therefore, x = 13/6.
(x-1)^2 + 16 = (x+2)^2
Expanding both sides:
x^2 - 2x + 1 + 16 = x^2 + 4x + 4
Combine like terms:
x^2 - 2x + 17 = x^2 +4x + 4
Subtract x^2 from both sides:
-2x + 17 = 4x + 4
Subtract 4x from both sides:
-6x + 17 = 4
Subtract 17 from both sides:
-6x = -13
Divide by -6:
x = 13/6
Therefore, x = 13/6.