2 (x-3) ^2+10=82 solve by isolating x

We have the following equation:

2 (x-3) ^ 2 + 10 = 82

We must clear x.

We pass the constant terms to one side of the equation:

2 (x-3) ^ 2 = 82 - 10

2 (x-3) ^ 2 = 72

(x-3) ^ 2 = 72/2

(x-3) ^ 2 = 36

Square root to both members:

x-3 = + / - root (36)

x-3 = + / - 6

The solutions are:

x1 = 6 + 3 = 9

x2 = - 6 + 3 = - 3

Answer:

x1 = 9

x2 = - 3