Question

what is the intermediate step in the form $(x + a)^2 = b$ as a result of completing the square for the following equation? $x^{2}+12x=-20$ answer attempt 1 out of 2 $(\square)^{2}=\square$

Explanation:

Step1: Identify the coefficient of x

The coefficient of $x$ is $12$.

Step2: Calculate half of the coefficient of x

Half of $12$ is $\frac{12}{2}=6$.

Step3: Square the result from Step2

$6^2 = 36$.

Step4: Add the result from Step3 to both sides of the equation

$x^{2}+12x + 36=-20 + 36$.

Step5: Rewrite the left - hand side as a perfect square

$(x + 6)^{2}=16$.

Answer:

$(x + 6)^{2}=16$