# Identify the solutions to the equation 2x2 + 5x = 3 when you solve by factoring.?

Hey does anyone know how to solve this? I tried to solve it using the quadratic formula but i didn't get any of the answer choices. Help!!

Identify the solutions to the equation 2x2 + 5x = 3 when you solve by factoring.

1. 1/2, –3

2. –1/2, 3

3. 2/3, –3

4. –2/3, 3

### 3 Answers

- TomVLv 79 years agoBest Answer
Well, the solution is the same whether you solve by factoring, completing the square, quadratic formula, or simply flat out guessing.

2x² + 5x - 3 = 0

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

x = 1/2, -3

1. is the correct choice.

By the quadratic formula:

x = [-5 ± √(25 + 24)]/4 = -5/4 ± 7/4 = -12/4, 2/4 = 1/2, -3

By completing the square:

2x² + 5x - 3 = 0

x² + (5/2)x + 25/16 - 25/16 - 3/2 = 0

(x + 5/4)² = 49/16

x = -5/4 ± 7/4 = 1/2, -3

...

- workoutgirl1235Lv 69 years ago
2x² + 5x = 3

2x² + 5x - 3 = 0

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

x = 1/2, -3

P.S. When you used the quadratic formula, was c = -3?

- PappyLv 49 years ago
Use this notation when writing exponents ; x squared... is x^2

2x^2 + 5x = 3 can be factored as follows:

(2x - 1) (x + 3)

--------->(2x - 1) = 0

---------------> 2x = +1

-------------------------------> x = +1/2

------------> (x + 3) = 0

-------------------------------> x = - 3

The answer is choice #1.