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Solve for x: 9x2 – 6px + (p2 – q2) = 0 - Mathematics

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Question

Solve for x: 9x2 – 6px + (p2 – q2) = 0

Sum

Solution

a = 9, b = − 6p, c = p2 − q2

D = b2 − 4ac = (− 6p)2 − 4(9)(p2 − q2) = 36q2

x = `(- b +- sqrt(D))/(2q) = (6p +- 6q)/18 = (p + q)/3` or `(p - q)/3`

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2021-2022 (April) Term 2 Sample
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