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Instructions
For the two given equations I and II.
Give answer a: if p is greater than q.
Give answer b: if p is smaller than q.
Give answer c: if p is equal to q.
Give answer d: if p is either equal to or greater than q.
Give answer e: if p is either equal to or smaller than q.
Solution
I : $$p^2 + p - 56 = 0$$
=> $$p^2 + 8p - 7p - 56 = 0$$
=> $$p (p + 8) - 7 (p + 8) = 0$$
=> $$(p + 8) (p - 7) = 0$$
=> $$p = 7 , -8$$
II : $$q^2 - 17q + 72 = 0$$
=> $$q^2 - 8q - 9q + 72 = 0$$
=> $$q (q - 8) - 9 (q - 8) = 0$$
=> $$(q - 8) (q - 9) = 0$$
=> $$q = 8, 9$$
$$\therefore p < q$$
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