Find the solution of the equation x - 8√x x + 15 = 0

Question 1 Report

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

3, 5

-3, -5

9, 25

-9, 25

Answer Details

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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Solution Of Linear Equations

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