Question

Factorise the following
P square-5p +9/4

Answer 1

p² - 5p + 9/4 = 0

4p² - 20p + 9 = 0

4p² - (18 + 2)p + 9 = 0

4p² - 18p - 2p + 9 = 0

2p (2p - 9) - 1(2p - 9) = 0

(2p - 1) (2p - 9) = 0

2p - 1 = 0 or 2p - 9 = 0

2p = 1 or 2p = 9

p = 1/2 or p = 9/2

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Answer 2

p square - 5p + 9/4 = 0

4p square - 20p + 9 = 0

4p square + 2p - 18 p + 9 = 0

2p ( 2p +1) - 9 ( 2p + 1) = 0

(2p +1) (2p - 9) = 0

p = -1/2 or p = 9/2