What is the solution set for 2x2+x−15=0?

Answer 1

The solution set for the equation 2x^2 + x - 15 = 0 can be found by factoring or using the quadratic formula.

Factoring:
2x^2 + x - 15 = 0

This can be factored as:
(2x - 5)(x + 3) = 0

Setting each factor to zero gives us:
2x - 5 = 0 or x + 3 = 0
2x = 5 x = -3
x = 5/2

Therefore, the solution set is x = 5/2 or x = -3.