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Question
Solve the following quadratic equations by factorization:
9x2 − 3x − 2 = 0
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Solution
We have been given,
9x2 - 3x - 2 = 0
9x2 - 6x + 3x - 2 = 0
3x(3x - 2) + 1(3x - 2) = 0
(3x + 1)(3x - 2) = 0
Therefore,
3x + 1 = 0
3x = -1
x = -1/3
or,
3x - 2 = 0
3x = 2
x = 2/3
Hence, x = -1/3 or x = 2/3
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