what number should be added to both sides of the equation to complete the square?\n$x^{2}+8x =…
what number should be added to both sides of the equation to complete the square?\n$x^{2}+8x = 4$\n4\n8\n16\n32
Answer
Explanation:
Step1: Recall the formula for completing the square
For the quadratic expression $x^{2}+bx$, the number to add to complete the square is $(\frac{b}{2})^{2}$.
Step2: Identify the value of b
In the equation $x^{2}+8x = 4$, the coefficient of $x$ is $b = 8$.
Step3: Calculate the number to add
Substitute $b = 8$ into $(\frac{b}{2})^{2}$, we get $(\frac{8}{2})^{2}=4^{2}=16$.
Answer:
C. 16