Question

Solve the following quadratic equation by factorization method

3(p² – 6) = p(p + 5)

Answer 1

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`