What is the answer to 2sqrt(x)+2/(sqrt(x))=5 ?

The answer to 2sqrt(x)+2/(sqrt(x))=5 is x= 1/4 ,x=4

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2sqrt(x)+2/(sqrt(x))=5

2 x + \frac{2}{x} = 5

x = \frac{1}{4}, x = 4

Decimal Notation

x = 0.25, x = 4

Solution steps

2 x + \frac{2}{x} = 5

Multiply both sides by

x

2 x x + \frac{2}{x} x = 5 x

Simplify

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

Move

5 x

to the left side

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

Factor

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

(2 x - 1) (x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

2 x - 1 = 0 or x - 2 = 0

Solve

2 x - 1 = 0 : x = \frac{1}{4}

Solve

x - 2 = 0 : x = 4

x = \frac{1}{4}, x = 4

Verify Solutions:

x = \frac{1}{4}

True

, x = 4

True

The solutions are

x = \frac{1}{4}, x = 4

48 - 2 x - x = 0

x + 18 - x - 3 = 3

x, f (x - 8) = x + 8 + 2

6 - x = x - 6

x^{5} = x

What is the answer to 2sqrt(x)+2/(sqrt(x))=5 ?
The answer to 2sqrt(x)+2/(sqrt(x))=5 is x= 1/4 ,x=4
Solve for x: 2sqrt(x)+2/(sqrt(x))=5
The solution is x= 1/4 ,x=4