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# Find the equation whose roots are $$\frac{3}{4}$$ and -4

### Question

Find the equation whose roots are $$\frac{3}{4}$$ and -4

### Options

A) 4x2 - 13x + 12 = 0

B) 4x2 - 13x - 12 = 0

C) 4x2 + 13x - 12 = 0

D) 4x2 + 13x + 12 = 0

### Explanation:

Let x = $$\frac{3}{4}$$ or x = -4

i.e. 4x = 3 or x = -4

(4x - 3)(x + 4) = 0

therefore, 4x2 + 13x - 12 = 0

## Dicussion (1)

• Let x = $$\frac{3}{4}$$ or x = -4

i.e. 4x = 3 or x = -4

(4x - 3)(x + 4) = 0

therefore, 4x2 + 13x - 12 = 0