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# Find the quadratic equation whose roots are -$$\frac{1}{2}$$ and 3

### Question

Find the quadratic equation whose roots are -$$\frac{1}{2}$$ and 3

### Options

A) 2x2 - 2x + 3 = 0

B) 2x2 - 2x - 3 = 0

C) 2x2 - 5x + 3 = 0

D) 3x2 - 5x - 3 = 0

### Explanation:

x = $$\frac{-1}{2}$$

x = 3

2x = -1, x = 3; 2x + 1 = 0

x - 3 = 0

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

2x2 - 6x + x - 3 = 0

2x2 - 5x - 3 = 0

## Dicussion (1)

• x = $$\frac{-1}{2}$$

x = 3

2x = -1, x = 3; 2x + 1 = 0

x - 3 = 0

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

2x2 - 6x + x - 3 = 0

2x2 - 5x - 3 = 0