Question

Consider the following quadratic equation: 25x2=36 Using the standard form ax2+bx+c=0 of the given quadratic equation, factor the left hand side of the equation into two linear factors.

Answer 1

(5x -6)(5x +6) = 0

Explanation:

Subtract 36 to put the equation in standard form. In this form, it looks like the difference of squares, so can be factored as such.

25x^2 -36 = 0

(5x)^2 -6^2 = 0

(5x -6)(5x +6) = 0