Question

80 Points, please help!

If using the method of completing the square to solve the quadratic equation x^2-11x-14=0, which number would have to be added to "complete the square"?

Answer 1

±√177/2+11/2

Step-by-step explanation:

Use the formula (b/2)^2 in order to create a new term. Solve for x by using this term to complete the square. Exact Form:x=±√177/2+11/2

x=12.15206734…,−1.15206734…

Answer 2

30.25

Step-by-step explanation:

Quadratic Equation: x² - 11x - 14 = 0

Number added = (b/2)² = (-11/2)² = 30.25

Solving Steps:

• x² - 11x = 14

[add both sides by 30.25]

• x² - 11x + 30.25 = 14 + 30.25

[complete square]

• (x - 5.5)² = 44.25

[exchange sides]

• (x - 5.5)² - 44.25 = 0