#### Question

Solve the following quadratic equations by factorization:

48*x*^{2} − 13*x* − 1 = 0

#### Solution

We have been given

48x^{2} - 13x - 1 = 0

48x^{2} - 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

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#### APPEARS IN

Solution Solve the Following Quadratic Equations by Factorization: 48x2 − 13x − 1 = 0 Concept: Solutions of Quadratic Equations by Factorization.