Question

What are the solutions of the equation 6x²-x-1-0?
A.1/2
B.1/3
C.-1/2
D.-1/3

Answer 1

A. 1/2

D. -1/3

Explanation:

You want to know the solutions to 6x² -x -1 = 0.

Factors

We can factor the equation as ...

6x² -3x +2x -1 = 0

3x(2x -1) +1(2x -1) = 0

(3x +1)(2x -1) = 0

Solutions

The solutions will make the factors zero:

3x +1 = 0 ⇒ x = -1/3

2x -1 = 0 ⇒ x = 1/2

The solutions are 1/2 and -1/3.

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