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Solve the Following Quadratic Equations by Factorization: 6x2 + 11x + 3 = 0 - Mathematics

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Question

Solve the following quadratic equations by factorization:

6x2 + 11x + 3 = 0

Solution

We have been given

6x2 + 11x + 3 = 0

6x2 + 9x + 2x + 3 = 0

3x(2x + 3) + 1(2x + 3) = 0

(2x + 3) (3x + 1) = 0

2x + 3 = 0

2x = -3

x = -3/2

or,

3x + 1 = 0

3x = -1

x = -1/3

Hence, x = -1/2 or x = -1/3

  Is there an error in this question or solution?
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APPEARS IN

 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.3 | Q: 6 | Page no. 19
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.3 | Q: 6 | Page no. 19
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Solve the Following Quadratic Equations by Factorization: 6x2 + 11x + 3 = 0 Concept: Solutions of Quadratic Equations by Factorization.
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