What is the answer to 1+sqrt(x)= 2/(sqrt(x)) ?

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

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

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

x = 1

Solution steps

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

Multiply both sides by

x

1 \cdot x + x x = \frac{2}{x} x

Simplify

x + (x)^{2} = 2

Move

2

to the left side

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

Factor

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

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

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x - 1 = 0 or x + 2 = 0

Solve

x - 1 = 0 : x = 1

Solve

x + 2 = 0 :

No Solution for

x \in R

x = 1

Verify Solutions:

x = 1

True

The solution is

x = 1

2 k^{\frac{3}{2}} - 2 = 1022

3 x - 7 = 1 - x

3 4 x - 2 + 7 = 13

3 x + 2 = x + 4

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