Solve the equation for real solutions by using the square root property.

​(x+1​)2=64

1 answer

First, we can rewrite the equation as:
(x + 1)² = 64

To solve for x, we can take the square root of both sides of the equation:
√((x + 1)²) = √64

Simplifying both sides of the equation, we get:
x + 1 = ±8

Now, we can solve for x by subtracting 1 from both sides of the equation:
x = -1 ± 8

Thus, the solutions for x are:
x = -1 + 8 = 7
x = -1 - 8 = -9