How do you solve 9(x + 2)^2 - 7 = 0?

1 Answer
Jul 23, 2016

-1.118 " or " x = -2.882

Explanation:

While it is possible to simply and change this into the form ax^2 + bx + c = 0, it can be used as it is.

Compare with 5x^2 = 20, " "rArr x^2 = 4 " "rArrx= +-2

9(x + 2)^2 - 7 = 0 " move the constant and divide by 9"

(x + 2)^2 = 7/9" square root both sides"

x + 2 = +-sqrt(7/9)

x = +sqrt7/3-2 " or " x = -sqrt7/3 -2

=-1.118 " or " x = -2.882