Determine the number that will complete the square to solve the equation after the constant term has been written on the right side. Do not actually solve.
-$5 x^{2}+x-3=0$
A) $-\frac{1}{100}$
B) $\frac{1}{4}$
C) 100
D) $\frac{1}{100}$

Question

Quizplus · Accepted Answer

The constant term is -3. To complete the square, add $\left ( \frac{1}{2} \cdot \frac{b}{a} \right )^2$ to both sides of the equation. Here, $a=5$ and $b=1$, so $\left ( \frac{1}{2} \cdot \frac{1}{5} \right )^2=\frac{1}{100}$.

Determine the Number That Will Complete the Square to Solve 5x2+x−3=05 x^{2}+x-3=05x2+x−3=0

Determine the Number That Will Complete the Square to Solve $5 x^{2}+x-3=0$