Question

If you rewrite x^2+16x+22 as a perfect square by completing the square, it becomes

Answer 1

To complete the square for the quadratic expression x^2 + 16x + 22, we need to add and subtract (16/2)^2 = 64 inside the parentheses. This gives us (x^2 + 16x + 64) - 64 + 22, which can be simplified to (x + 8)^2 - 42. So, the expression x^2 + 16x + 22 can be rewritten as a perfect square by completing the square as (x + 8)^2 - 42.

Explanation: