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Find the solution of the equation x - 8 sqrt x ... - JAMB Mathematics 1990 Question

Find the solution of the equation x - 8(\sqrt{x}) + 15 = 0

A
3, 5
B
-3, -5
C
9, 25
D
-9, 25
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Correct Option: C

x - 8(\sqrt{x}) + 15 = 0

x + 15 = 8(\sqrt{x})

square both sides = (x + 15)2 = (8 (\sqrt{x})2

x2 + 225 + 30x = 64x

x2 + 225 + 30x - 64x = 0

x2 - 34x + 225 = 0

(x - 9)(x - 25) = 0

x = 9 or 25

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