Question

Solve the following quadratic equations by factorization:

5x² - 3x - 2 = 0

Answer 1

We have been given

5x² - 3x - 2 = 0

5x² - 5x + 2x - 2 = 0

5x(x - 1) + 2(x - 1) = 0

(5x + 2)(x - 1) = 0

Therefore,

5x + 2 = 0

5x = -2

x = -2/5

or,

x - 1 = 0

x = 1

Hence, x = -2/5 or x = 1.