Question

Solve the following quadratic equations by factorization:

9x² − 3x − 2 = 0

Answer 1

We have been given,

9x² - 3x - 2 = 0

9x² - 6x + 3x - 2 = 0

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

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

Therefore,

3x + 1 = 0

3x = -1

x = -1/3

or,

3x - 2 = 0

3x = 2

x = 2/3

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