Question

Solve the following quadratic equations by factorization:

6x² + 11x + 3 = 0

Answer 1

We have been given

6x² + 11x + 3 = 0

6x² + 9x + 2x + 3 = 0

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

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

2x + 3 = 0

2x = -3

x = `-3/2`

or,

3x + 1 = 0

3x = -1

x = `-1/3`

Hence, x = `-3/2` or x = `-1/3`.