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

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

Sum

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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