Question

What are the roots of the equation?

2x^2 - x = 15

Select each correct answer.

-5

-3

-5/2

- 3/2

- 5/2

- 3

Answer 1

The roots of the equation 2x^2 - x = 15 are -5/2 and 3.

Step-by-step explanation:

The equation 2x^2 - x = 15 can be solved by rearranging the equation and factoring. Here are the steps:

1. Moving all terms to one side, we have 2x^2 - x - 15 = 0.
2. Next, we factor the quadratic equation. We look for two numbers that add up to -1 and multiply to -30, which are -6 and 5.
3. Using these numbers, we rewrite the equation as (2x + 5)(x - 3) = 0.
4. Setting each factor equal to zero, we have 2x + 5 = 0 and x - 3 = 0.
5. Solving these equations, we find x = -5/2 and x = 3.

Therefore, the roots of the equation 2x^2 - x = 15 are -5/2 and 3.