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Question
Solve the following quadratic equations by factorization:
3x2 − 14x − 5 = 0
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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
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