Question

Which equations can be best solved with the square root method?

Select each correct answer.

x2−100=0
(x−6)2=25
x2−11x=−28
x2−10x+24=0

Answer 1

The first two equations.

Explanation:

The first equation:

x² - 100 = 0

x² = 100

√x² = √100

x = ±10

x = 10 or -10

Second equation:

(x - 6)² = 25

√(x - 6)² = √25

x - 6 = ±5

x - 6 = 5 or x - 6 = -5

x = 11 or 1

It seems that for the other two equations, you have to complete the square and factor them out.