Question

if using the method of completing the square to solve the quadratic equation below, which number would have to to \complete the square\?
$x^{2}-7x = 8$

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 $(\frac{b}{2})^{2}$. In the equation $x^{2}-7x = 8$, the coefficient of $x$ is $b=-7$.

Step2: Calculate the value to complete the square

Substitute $b = - 7$ into $(\frac{b}{2})^{2}$. We get $(\frac{-7}{2})^{2}=\frac{49}{4}$.

Answer:

$\frac{49}{4}$