Question

(X-3)^2=25 i need to find all the solutions to the equation

Answer 1

x = 8, -2

Explanation:

`(x-3)^2=25`

`(8-3)^2=25` Substitute x for 8 the subtract 8 - 3

`(5)^2=25` Multiply 5 by 5

`25=25`

`(x-3)^2=25`

`(-2-3)^2=25` Substitute x for -2 then subtract -2 - 3

`(-5)^2=25` Multiply -5 by -5

`25 = 25`

Answer 2

x = {2, 8}

Explanation:

(x - 3)^2 = 25

Take the square root of both sides

x - 3 = ±5

Add 3 to both sides

x = ±5 + 3

x = 5 +3 = 8

x = -5 + 3 = 2

x = {2, 8}