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Question
Solve the following quadratic equation by factorization method
3(p2 – 6) = p(p + 5)
Solution
3p2 – 18 = p2 + 5p
2p2 – 5p – 18 = 0
2p2 – 9p + 4p – 18 = 0
p(2p – 9) + 2(2p – 9) = 0
(2p – 9)(p + 2) = 0
2p – 9 = 0 or p + 2 = 0
The roots are p = `(9)/(2), -2`
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