Question

Solve the following quadratic equations by factorization:

3x² − 14x − 5 = 0

Answer 1

We have been given

3x² - 14x - 5 = 0

3x² - 15x + x - 5 = 0

3x(x - 5) + 1(x - 5) = 0

(3x + 1)(x - 5) = 0

Therefore,

3x + 1 = 0

3x = -1

x = -1/3

or,

x - 5 = 0

x = 5

Hence, x = -1/3 or x = 5