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Solve the Following Quadratic Equations by Factorization: 3x2 − 14x − 5 = 0 - CBSE Class 10 - Mathematics

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Question

Solve the following quadratic equations by factorization:

3x2 − 14x − 5 = 0

Solution

We have been given

3x2 - 14x - 5 = 0

3x2 - 15x + x - 5 = 0

3x(x - 5) + 1(x - 5) = 0

(3x + 1)(x - 5) = 0

Therefore,

3x + 1 = 0

3x = -1

x = -1/3

or,

x - 5 = 0

x = 5

Hence, x = -1/3 or x = 5

  Is there an error in this question or solution?

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Solution Solve the Following Quadratic Equations by Factorization: 3x2 − 14x − 5 = 0 Concept: Solutions of Quadratic Equations by Factorization.
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