What is the answer to sqrt(x)-8/(sqrt(x))=2 ?

The answer to sqrt(x)-8/(sqrt(x))=2 is x=16

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sqrt(x)-8/(sqrt(x))=2

x - \frac{8}{x} = 2

x = 16

Solution steps

x - \frac{8}{x} = 2

Multiply both sides by

x

x x - \frac{8}{x} x = 2 x

Simplify

(x)^{2} - 8 = 2 x

Move

2 x

to the left side

(x)^{2} - 8 - 2 x = 0

Factor

(x)^{2} - 8 - 2 x : (x + 2) (x - 4)

(x + 2) (x - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x + 2 = 0 or x - 4 = 0

Solve

x + 2 = 0 :

No Solution for

x \in R

Solve

x - 4 = 0 : x = 16

x = 16

Verify Solutions:

x = 16

True

The solution is

x = 16

7^{2} = b^{2} + b^{2}

x^{- \frac{5}{9}} = 3

x, x^{2} + 18 - 3 = 0

2 x + 3 = x - 6

u^{\frac{1}{3}} = 4

What is the answer to sqrt(x)-8/(sqrt(x))=2 ?
The answer to sqrt(x)-8/(sqrt(x))=2 is x=16
Solve for x: sqrt(x)-8/(sqrt(x))=2
The solution is x=16