What is the answer to x^{0.15}+x=28 ?

The answer to x^{0.15}+x=28 is x=26.36635…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{0.15}+x=28

x^{0.15} + x = 28

x = 26.36635 \dots

Solution steps

x^{0.15} + x = 28

Use the following exponent property

: a^{n} = (a^{\frac{1}{m}})^{(n \cdot m)}

x^{0.15} = (x^{\frac{1}{20}})^{(0.15 \cdot 20)}

(x^{\frac{1}{20}})^{3} + (x^{\frac{1}{20}})^{20} = 28

Rewrite the equation with

x^{\frac{1}{20}} = u

u^{3} + u^{20} = 28

Solve

u^{3} + u^{20} = 28 : u \approx 1.17774 \dots, u \approx - 1.18470 \dots

u \approx 1.17774 \dots, u \approx - 1.18470 \dots

Substitute back

u = x^{\frac{1}{20}},

solve for

x

Solve

x^{\frac{1}{20}} = 1.17774 \dots : x = 26.36635 \dots

Solve

x^{\frac{1}{20}} = - 1.18470 \dots :

No Solution for

x \in R

x = 26.36635 \dots

Verify Solutions:

x = 26.36635 \dots

True

The solution is

x = 26.36635 \dots

(23 + 10 + x)^{\frac{1}{2}} = 27

\frac{( x - 4 )}{( x + 2 )} = x - 8

5 x^{2} - 6 x + 8 - 5 x^{2} - 6 x - 7 = 1

4 x^{2} - 15 - 2 x = - 1

x = 1 + 3 x + 15

What is the answer to x^{0.15}+x=28 ?
The answer to x^{0.15}+x=28 is x=26.36635…
Solve for x: x^{0.15}+x=28
The solution is x=26.36635…