Question

Rewrite the equation by completing the square.

x^2 −16x+63=0
(x +{ })^2={ }

Answer 1

(x + 4) ^{2} + 47 = 0

Explanation:

`(x ^(2) + 4 ^(2) ) - 4 ^(2) + 63 = 0 \\ (x + 4) ^(2) + 47 = 0`

When completing squares, basing on our equation in the question:

• First square the half of 16 e.g (16÷2)^2 = 4^2

• Add the result to x^2 and subtract it with 63 e.g the second equation