How do you solve $x^2 + 7x - 45 = 7$ by completing the square?

Question

2268 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-05-22T13:11:38

$f(x) = x^2 + 7x - 52 = 0$

$f(x) = x^2 + 7x + 49/4 - 49/4 - 52 = 0$
$f(x) = (x + 7/2)^2 - 257 /4$

$(x + 7/2)^2 = 257/4$

$(x + 7/2) = +-16.03/2$

x = -7/2 + 8.02

x = -7/2 - 8.02

How do you solve x^2 + 7x - 45 = 7x^2 + 7x - 45 = 7 by completing the square?