Question

question if using the method of completing the square to solve the quadratic equation below, which number would have to be added to \complete the square\? x^{2}+13x = 2

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 complete the square is $(\frac{b}{2})^{2}$.

Step2: Identify the value of $b$.

In the equation $x^{2}+13x = 2$, $b = 13$.

Step3: Calculate the number to add.

Substitute $b = 13$ into $(\frac{b}{2})^{2}$, we get $(\frac{13}{2})^{2}=\frac{169}{4}$.

Answer:

$\frac{169}{4}$