Question

how do i Determine the solution set of (x - 3)2 = 49?

Answer 1

(x - 3)2 = 49
(x - 3)2 = 7^2
(x - 3)2 - 7^2 = 0
then factor out by using the difference square formula :
a^2 - b^2 = (a+b)(a-b)
therefore, (x - 3)2 - 7^2 = 0 can be written as
(x - 3 + 7)(x - 3 - 7) = 0
(x + 4)(x - 10) = 0
now, solve for x