What is the answer to sqrt(x)+4/(sqrt(x))=5 ?

The answer to sqrt(x)+4/(sqrt(x))=5 is x=1,x=16

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sqrt(x)+4/(sqrt(x))=5

x + \frac{4}{x} = 5

x = 1, x = 16

Solution steps

x + \frac{4}{x} = 5

Multiply both sides by

x

x x + \frac{4}{x} x = 5 x

Simplify

(x)^{2} + 4 = 5 x

Move

5 x

to the left side

(x)^{2} + 4 - 5 x = 0

Factor

(x)^{2} + 4 - 5 x : (x - 1) (x - 4)

(x - 1) (x - 4) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x - 4 = 0

Solve

x - 1 = 0 : x = 1

Solve

x - 4 = 0 : x = 16

x = 1, x = 16

Verify Solutions:

x = 1

True

, x = 16

True

The solutions are

x = 1, x = 16

(x - 2)^{\frac{2}{3}} = 9

3 x - 2 - 8 = 8

2 x + 7 - x + 15 = 1

9 x - 2 - 10 - 2 x = 3

What is the answer to sqrt(x)+4/(sqrt(x))=5 ?
The answer to sqrt(x)+4/(sqrt(x))=5 is x=1,x=16
Solve for x: sqrt(x)+4/(sqrt(x))=5
The solution is x=1,x=16