Answer:
A. x = -5/6 and x = 1/2.
Step-by-step explanation:
12x^2 + 4x - 5 = 0
Use the 'ac' method to try to factor this:
Consider the above highlighted numbers:
12 * -5 = -60.
Now we need 2 numbers whose product is -60 and whose sum is +4.
They are -6 and +10, so we replace the + 4x by -6x + 10x:
12x^2 - 6x + 10x - 5 = 0 Now factor by grouping:
6x(2x - 2) + 5(2x - 1) = 0 The 2x -1 is common, so:
(6x + 5)(2x - 1) = 0
So x = -5/6 and x = 1/2.
