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Solve the following quadratic equation: 6x^2 + x – 12 = 0

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Question

Solve the following quadratic equation:

6x2 + x – 12 = 0

Sum
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Solution

Given: 

6x2 + x – 12 = 0 

⇒ 6x2 + 9x – 8x – 12 = 0 

⇒ 3x(2x + 3) – 4(2x + 3) = 0 

⇒ (3x – 4)(2x + 3) = 0 

⇒ 3x – 4 = 0 or 2x + 3 = 0 

⇒ `x = 4/3` or `x = (-3)/2` 

Hence, `4/3` and `(-3)/2` are the roots of the equation 6x2 + x – 12 = 0.

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Chapter 4: Quadratic Equations - EXERCISE 4A [Page 183]

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R.S. Aggarwal Mathematics [English] Class 10
Chapter 4 Quadratic Equations
EXERCISE 4A | Q 14. | Page 183
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