What is the answer to x+x^{0.1}=100 ?

The answer to x+x^{0.1}=100 is x=98.41763…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x+x^{0.1}=100

x + x^{0.1} = 100

x = 98.41763 \dots

Solution steps

x + x^{0.1} = 100

Rewrite the equation with

x^{\frac{1}{10}} = u

u^{10} + u = 100

Solve

u^{10} + u = 100 : u \approx 1.58236 \dots, u \approx - 1.58739 \dots

u \approx 1.58236 \dots, u \approx - 1.58739 \dots

Substitute back

u = x^{\frac{1}{10}},

solve for

x

Solve

x^{\frac{1}{10}} = 1.58236 \dots : x = 98.41763 \dots

Solve

x^{\frac{1}{10}} = - 1.58739 \dots :

No Solution for

x \in R

x = 98.41763 \dots

Verify Solutions:

x = 98.41763 \dots

True

The solution is

x = 98.41763 \dots

x - 4 = 2

x - 4 = 6

\frac{x ^{3} - 1}{x - 1} = 5.5

52 - x^{2} = x + 2

5 x = 15

What is the answer to x+x^{0.1}=100 ?
The answer to x+x^{0.1}=100 is x=98.41763…
Solve for x: x+x^{0.1}=100
The solution is x=98.41763…