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Solve the Following Quadratic Equations by Factorization: 48x2 − 13x − 1 = 0 - Mathematics

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Question

Solve the following quadratic equations by factorization:

48x2 − 13x − 1 = 0

Solution

We have been given

48x2 - 13x - 1 = 0

48x2 - 16x + 3x - 1 = 0

16x(3x - 1) + 1(3x - 1) = 0

(16x + 1)(3x - 1) = 0

Therefore,

16x + 1 = 0

16x = -1

x = -1/16

or,

3x - 1 = 0

3x = 1

x = 1/3

Hence, x = -1/16 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: 8 | Page no. 19
 RD Sharma Solution for Class 10 Maths (2018 (Latest))
Chapter 4: Quadratic Equations
Ex. 4.3 | Q: 8 | Page no. 19
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Solve the Following Quadratic Equations by Factorization: 48x2 − 13x − 1 = 0 Concept: Solutions of Quadratic Equations by Factorization.
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