How do you solve 36x^2 - 25 = 036x225=0?

1 Answer
Jun 19, 2016

x = -5/6 or x = 5/6x=56orx=56

Explanation:

For quadratic equations, there are 3 methods of solving them:

This equation can be factorised as the difference of two squares.

36x^2 - 25 =036x225=0
(6x + 5)(6x - 5)=0(6x+5)(6x5)=0

Let each factor in turn be equal to 0.

If 6x + 5 = 0, " or " if 6x - 5 = 0
6x = -5 " " 6x = 5
x = -5/6 " " x = 5/6

There are two solutions as we expect for a quadratic.