Question

solve for x in the following equation, be sure to include both solution. (x-3)^2-10=15. Show all work. PLZ HELP!

Answer 1

x=8 x=-2

Explanation:

(x - 3)^2 - 10 = 15

(x - 3)^2 = 15 + 10

(x - 3)^2 = 25

x - 3 = squareroot{25}

x - 3 = ±5

first solution:

x - 3 = 5

x = 5 + 3

x = 8

Second solution:

x - 3 = - 5

x = - 5 + 3

x = - 2

Answer 2

x=8 x=-2

Explanation:

(x - 3)^2 - 10 = 15

(x - 3)^2 = 15 + 10

(x - 3)^2 = 25

x - 3 = squareroot{25}

x - 3 = ±5

first solution:

x - 3 = 5

x = 5 + 3

x = 8

Second solution:

x - 3 = - 5

x = - 5 + 3

x = - 2