What is the answer to 27sqrt(x)= 1/x ?

The answer to 27sqrt(x)= 1/x is x= 1/9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

27sqrt(x)= 1/x

27 x = \frac{1}{x}

x = \frac{1}{9}

Decimal Notation

x = 0.11111 \dots

Solution steps

27 x = \frac{1}{x}

Multiply both sides by

x

27 x x = \frac{1}{x} x

Simplify

27 x x = 1

Square both sides:

729 x^{3} = 1

729 x^{3} = 1

Solve

729 x^{3} = 1 : x = \frac{1}{9}

x = \frac{1}{9}

Verify Solutions:

x = \frac{1}{9}

True

The solution is

x = \frac{1}{9}

4 - 6 x = 2 x

21 x - 24 = x + 4

4 x^{2} + 8 x + 5 2 x = 0

5 + 2 x = 4 x - 2