Question

For which of the following quadratic equations would it be MOST logical to use the completing the square method when solving?

a) A: x² - 15x = 12
b) B: x² + 4x = 15
c) C: 2x² - 5x = 12
d) D: x² - 3x = 18

Answer 1

The equations A, B, and D would be most logical to use the completing the square method when solving.

Step-by-step explanation:

To determine which of the given quadratic equations would be most logical to use the completing the square method when solving, we need to look at the coefficient of the "x²" term. The equation that contains the "x²" term with a coefficient of 1 would be the most logical choice to use the completing the square method. Let's analyze the given equations:

a) A: x² - 15x = 12 -> Coefficient of x² term is 1

b) B: x² + 4x = 15 -> Coefficient of x² term is 1

c) C: 2x² - 5x = 12 -> Coefficient of x² term is 2

d) D: x² - 3x = 18 -> Coefficient of x² term is 1

Based on the analysis, equations A, B, and D all have a coefficient of 1 for the x² term and would be suitable for using the completing the square method when solving.