Question

Solve the quadratic equation 3x2^2 - x - 2 = 0 by factorization method.

Answer 1

Solution:

3x2² - x - 2 = 0

Break the equation

⟹ 3x2^2 - 3x + 2x - 2 = 0

⟹ 3x(x - 1) + 2(x - 1) = 0

⟹ (x - 1)(3x + 2) = 0

To get the answer we have to use the zero-product rule 

x - 1 = 0 or, 3x + 2 = 0

⟹ x = 1 or x = -2/3

Simplify the equation

x = -2/3, 1.

Answer 2

We have,

3x2² - x - 2 = 0

⟹ 3x2² - 3x + 2x - 2 = 0

⟹ 3x(x - 1) + 2(x - 1) = 0

⟹ (x - 1)(3x + 2) = 0

x - 1 = 0 or, 3x + 2 = 0

    We get,

⟹ x = 1 or x = -2/3

∴ Values of x = -2/3, 1