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Question
Solve:
(a + b)2x2 – (a + b)x – 6 = 0; a + b ≠ 0
Solution
(a + b)2x2 – (a + b)x – 6 = 0; a + b ≠ 0
`=>` (a + b)2x2 – 3(a + b)x + 2(a + b)x – 6 = 0
`=>` (a + b)x [(a + b)x – 3] + 2[(a + b)x – 3] = 0
`=>` [(a + b)x – 3][(a + b)x – 2] = 0
`=>` (a + b)x – 3 = 0 or (a + b)x + 2 = 0
`=> x = 3/(a + b)` or `x = (-2)/(a + b)`
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