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Question
Solve the following quadratic equations by factorization:
5x2 - 3x - 2 = 0
Solution
We have been given
5x2 - 3x - 2 = 0
5x2 - 5x + 2x - 2 = 0
5x(x - 1) + 2(x - 1) = 0
(5x + 2)(x - 1) = 0
Therefore,
5x + 2 = 0
5x = -2
x = -2/5
or,
x - 1 = 0
x = 1
Hence, x = -2/5 or x = 1.
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