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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

sqrt(x)+1= 2/x

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

x = 1

Solution steps

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

Multiply both sides by

x

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

Simplify

x x + x = 2

Remove square roots

x^{3} = 4 - 4 x + x^{2}

Solve

x^{3} = 4 - 4 x + x^{2} : x = 1

x = 1

Verify Solutions:

x = 1

True

The solution is

x = 1

5 x + 1 = 5 - x - 2

9 = 3 (8 t + 600)^{2}

5 x - 4 - 2 = x

1 - x - 1 = x

2 x^{\frac{16}{5}} - 16 x^{\frac{13}{5}} = 0