what number should be added to both sides of the equation to complete the square?\n$x^{2}+8x = 4$\no 4\no…
what number should be added to both sides of the equation to complete the square?\n$x^{2}+8x = 4$\no 4\no 8\no 16\no 32
Answer
Explanation:
Step1: Recall the formula for completing the square
For a quadratic equation of the form $x^{2}+bx = c$, the number to add to both sides to complete the square is $\left(\frac{b}{2}\right)^{2}$.
Step2: Identify the value of b
In the equation $x^{2}+8x = 4$, $b = 8$.
Step3: Calculate the number to add
$\left(\frac{b}{2}\right)^{2}=\left(\frac{8}{2}\right)^{2}=4^{2}=16$.
Answer:
C. 16