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Question
Solve the following quadratic equations by factorization:
48x2 − 13x − 1 = 0
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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
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