How do you solve 2(a-6)^2-45=53?

1 Answer
Aug 18, 2016

a =-1or a = 13

Explanation:

This is a quadratic equation which we can solve by an easy method because there is no term in a.

2(a-6)^2 -45=53" isolate the term with the variable"

2(a-6)^2 =53+45

2(a-6)^2 = 98" isolate the factor with the variable"

(a-6)^2 =49" find the square root of both sides"

a-6 = +-7

a-6 = +7 rArr a = 7+6 = 13
a-6 = -7 rArr a = -7+6 = -1