what number would you add to both sides of $x^{2}-20x = 5$ to complete the square?
what number would you add to both sides of $x^{2}-20x = 5$ to complete the square?
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 ((\frac{b}{2})^{2}). In the given equation (x^{2}-20x = 5), we have (b=- 20).
Step2: Calculate the value of ((\frac{b}{2})^{2})
First, find (\frac{b}{2}), where (b = - 20), so (\frac{b}{2}=\frac{-20}{2}=-10). Then, square the result: ((-10)^{2}=100).
Answer:
100