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Solve the Following Quadratic Equations by Factorization: 6x2 + 11x + 3 = 0 - CBSE Class 10 - 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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Solution Solve the Following Quadratic Equations by Factorization: 6x2 + 11x + 3 = 0 Concept: Solutions of Quadratic Equations by Factorization.
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