What is the answer to x+1/x =80 ?

The answer to x+1/x =80 is x=40+sqrt(1599),x=40-sqrt(1599)

Solve for x: x+1/x =80

The solution is x=40+sqrt(1599),x=40-sqrt(1599)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x + \frac{1}{x} = 80

x = 40 + 1599, x = 40 - 1599

Decimal Notation

x = 79.98749 \dots, x = 0.01250 \dots

Solution steps

x + \frac{1}{x} = 80

Multiply both sides by

x

x^{2} + 1 = 80 x

Solve

x^{2} + 1 = 80 x : x = 40 + 1599, x = 40 - 1599

x = 40 + 1599, x = 40 - 1599

Verify Solutions

Find undefined (singularity) points:

x = 0

Combine undefined points with solutions:

x = 40 + 1599, x = 40 - 1599

\frac{11}{3} = \frac{12}{u}

2 x^{2} + 1 = \frac{1}{( x ^{2} ) - 4}

\frac{1}{x + 1} + 3 = \frac{13}{x + 1}

\frac{1}{x - 5} + 3 = \frac{5 x}{x - 5}

\frac{11}{x - 1} = \frac{15}{x + 14}

What is the answer to x+1/x =80 ?
The answer to x+1/x =80 is x=40+sqrt(1599),x=40-sqrt(1599)
Solve for x: x+1/x =80
The solution is x=40+sqrt(1599),x=40-sqrt(1599)