Question

Use the square root property to solve for x in the following equation (x-3)^2-10=15

Answer 1

(x – 3)² – 10 = 15

↓

`{x}^(2) - 6x + 9 - 10 = 15`

`{x}^(2) - 6x - 1 = 15`

`{x}^(2) - 6x - 15 = 0`

`{x}^(2) + 2x - 8x - 1 - 15 = 0`

`{x}^(2) + 2x - 8x - 16 = 0`

`x * (x + 2) - 8x - 16 = 0`

`x * (x + 2) - 8(x + 2) = 0`

`(x + 2) * (x - 8) = 0`

`x + 2 = 0`

`x - 8 = 0`

so,

`x1 = - 2`

`x2 = 8`

Answer 2

If you were to solve for x by using the square root property, your ANSWER would be x=8,-2