Question

consider the quadratic equation 144 = (x + 1)²
explain what happened at each step to find the solutions to the equation.
step 1:
step 2:
step 3:

Explanation:

Step1: Take square roots of both sides

$$\pm\sqrt{144} = x + 1$$
Simplify the square root: $\pm12 = x + 1$

Step2: Solve for positive case

Subtract 1 from both sides:
$x = 12 - 1$

Step3: Solve for negative case

Subtract 1 from both sides:
$x = -12 - 1$

Answer:

$x = 11$ and $x = -13$