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

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Answer (Detailed Solution Below)

Option 3 :
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Detailed Solution

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Given:

6x2 - x - 2 = 0 

Calculation:

6x2 - x - 2 = 0

⇒ 6x2 - 4x + 3x - 2 = 0

⇒ 2x(3x - 2) + 1(3x - 2)

⇒ (2x + 1)(3x - 2) = 0 

So, 2x + 1 = 0 and 3x - 2 = 0

⇒ x =  and x = 

∴ The correct answer is option 3.

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