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Solve the Following Quadratic Equations by Factorization: 5x2 − 3x − 2 = 0 - CBSE Class 10 - Mathematics

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Question

Solve the following quadratic equations by factorization:

5x2 - 3x - 2 = 0

Solution

We have been given

5x2 - 3x - 2 = 0

5x2 - 5x + 2x - 2 = 0

5x(x - 1) + 2(x - 1) = 0

(5x + 2)(x - 1) = 0

Therefore,

5x + 2 = 0

5x = -2

x = -2/5

or,

x - 1 = 0

x = 1

Hence, x = -2/5 or x = 1.

  Is there an error in this question or solution?

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Solution Solve the Following Quadratic Equations by Factorization: 5x2 − 3x − 2 = 0 Concept: Solutions of Quadratic Equations by Factorization.
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