Find the roots of the quadratic equation 6x² - x - 2 = 0

Solution:

Let us find the roots of the quadratic equation by splitting the middle term.

⇒ 6x² - x - 2 = 0

Split bx into such a way that it is equal to a×c

- 1x can be split into - 4 and 3. [ ∵ (- 4) × (3) = 12]. 

⇒ 6x² - x - 2 = 0 can be written as 

⇒ 6x² + 3x - 4x - 2 = 0

Taking out the common factors

⇒ 3x (2x + 1) - 2(2x + 1) 

⇒ (2x + 1)(3x - 2) 

Put the both the factors equal to 0

⇒ 2x + 1 = 0 and 3x - 2 = 0. 

⇒ x = -1/2 and x = 2/3 are the solutions of the equation

The roots of the equation 6x² - x - 2 = 0 are 2/3 and - 1/2 which satisfies the equation

☛ Check: NCERT Solutions for Class 10 Maths Chapter 4

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Find the roots of the quadratic equation 6x² - x - 2 = 0

Summary:

The roots of the equation 6x² - x - 2 = 0 are 2/3 and -1/2 which satisfies the equation

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