Question

CU 6x² – X – 2 = 0
(NCERt​

Answer 1

Required Answer:-

Given:

• 6x² - x - 2 = 0

To Find:

• The roots of the given equation.

Solution:

We have,

➡ 6x² - x - 2 = 0

Splitting the middle term,

➡ 6x² - 4x + 3x - 2 = 0

➡ 2x(3x - 2) + 1(3x - 2) = 0

➡ (2x + 1)(3x - 2) = 0

By zero product rule,

➡ Either 2x + 1 = 0 or 3x - 2 = 0

➡ x = -½, ⅔

★ Hence, the roots of the given equation are -½ and ⅔.

Answer:

• The roots are -½ and ⅔