Question

For which equation does it make the most sense to solve by completing the square?

A) 5x² + 3x = 9

B) x² + 20x = 52

C) x^2−8=1

D) 3x^2−x+17=0

Answer 1

Completing the square is a method used to solve a quadratic equation by changing the shape of the equation so that the left side is a perfect square trinomial.
The following equation makes more sense to solve it complete squares:
x² + 20x = 52
We have then:
x² + 20x + (10) ^ 2 = 52 + 100
(x + 10) ² = 152
Answer:
The most sense to solve by completing the square is for:
B) x² + 20x = 52