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Question
Solve the following quadratic equations by factorization:
x2 + 2ab = (2a + b)x
Solution
We have been given
x2 + 2ab = (2a + b)x
x2 - (2a + b)x + 2ab = 0
x2 - 2ax - bx + 2ab = 0
x(x - 2a) - b(x - 2a) = 0
(x - 2a)(x - b) = 0
Therefore,
x - 2a = 0
x = 2a
or,
x - b = 0
x = b
Hence, x = 2a or x = b
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