What are the solutions of 6x2 − x − 2 = 0?

Question

mathstudent55 · Answer

You can try factoring, or you can use the quadratic formula.

anonymous · Answer

6x^2 - x - 2 = 0

Factor the equation.

(3x - 2)(2x + 1) = 0

Set each binomial equal to zero.

3x - 2 = 0 and 2x + 1 = 0

Solve both equations.

x = 2/3 or x = - 1/2

Check answers(optional).

6(- 1/2)^2 - (- 1/2) - 2 = 0

6(1/4) + 1/2 - 2 = 0

6/4 + 1/2 - 2 = 0

6/4 + 2/4 - 8/4 = 0

0 = 0

6(2/3)^2 - (2/3) - 2 = 0

6(4/9) - 2/3 - 2 = 0

24/9 - 2/3 - 2 = 0

24/9 - 6/9 - 18/9 = 0

0 = 0

anonymous · Answer

well thank you that. looked like it took 4ever