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

The answer to sqrt(x)-2/(sqrt(x))=1 is x=4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

x = 4

Solution steps

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

Multiply both sides by

x

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

Simplify

(x)^{2} - 2 = x

Move

x

to the left side

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

Factor

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

No Solution for

x \in R

Solve

x - 2 = 0 : x = 4

x = 4

Verify Solutions:

x = 4

True

The solution is

x = 4

144 - x^{2} = 10

3 x^{\frac{3}{4}} - 6 = 0

x, 2 x + y = 2

x + 1 = 3 x^{\frac{1}{3}}

\frac{b}{4 b - 8 - 3} = 17

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