Question

What are the solutions of the equation (x−13)2=400?

x=±20
x=±7
x=±33
x=−7 and x=33

Answer 1

x = −7 and x = 33

Explanation:

`(x-13)^2=400\\\\ (x-13)^2=(\pm20)^2\\\\x-13=20\quad\vee\quad x-13=-20\\\\x=33\qquad\vee\qquad x=-7`