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Solve the Following Quadratic Equations by Factorization: 9x2 − 3x − 2 = 0 - CBSE Class 10 - Mathematics

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Question

Solve the following quadratic equations by factorization:

9x2 − 3x − 2 = 0

Solution

We have been given,

9x2 - 3x - 2 = 0

9x2 - 6x + 3x - 2 = 0

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

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

Therefore,

3x + 1 = 0

3x = -1

x = -1/3

or,

3x - 2 = 0

3x = 2

x = 2/3

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

  Is there an error in this question or solution?

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Solution Solve the Following Quadratic Equations by Factorization: 9x2 − 3x − 2 = 0 Concept: Solutions of Quadratic Equations by Factorization.
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