What are the solutions for the quadratic equation 2x^2+x=3

1) - 1, 3/2

2) 1, 3/2

3) 1, - 3/2

4) - 1, - 3/2

x = - 3/2, 1. It is Choice 3.

Step-by-step explanation:

2x^2 + x - 3 = 0

Use the 'ac' method:-

2 * - 3 = - 6 so we need 2 numbers whose produce is - 6 and whose sum is + 1.

They are = + 3 and - 2. So we write

2x^2 - 2x + 3x - 3 = 0

Factor by grouping:-

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

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

giving x = - 3/2, 1.