What is the answer to 10=u^{0.5}+u^{0.8}+u^{1.1} ?

The answer to 10=u^{0.5}+u^{0.8}+u^{1.1} is u=4.17653…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

10=u^{0.5}+u^{0.8}+u^{1.1}

10 = u^{0.5} + u^{0.8} + u^{1.1}

u = 4.17653 \dots

Solution steps

10 = u^{0.5} + u^{0.8} + u^{1.1}

Use the following exponent property

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

u^{0.8} = (u^{\frac{1}{2}})^{(0.8 \cdot 2)}, u^{1.1} = (u^{\frac{1}{2}})^{(1.1 \cdot 2)}

10 = u^{\frac{1}{2}} + (u^{\frac{1}{2}})^{\frac{8}{5}} + (u^{\frac{1}{2}})^{\frac{11}{5}}

Rewrite the equation with

u^{\frac{1}{2}} = v

10 = v + v^{\frac{8}{5}} + v^{\frac{11}{5}}

Solve

10 = v + v^{\frac{8}{5}} + v^{\frac{11}{5}} : v = 2.04365 \dots

v = 2.04365 \dots

Substitute back

v = u^{\frac{1}{2}},

solve for

u

Solve

u^{\frac{1}{2}} = 2.04365 \dots : u = 4.17653 \dots

u = 4.17653 \dots

Verify Solutions:

u = 4.17653 \dots

True

The solution is

u = 4.17653 \dots

(x - 1)^{\frac{3}{2}} + 15 = 7

3 x - 8 = 2

3 x - 8 = 7

x^{2} + 11 = 6

1^{2} + 1^{2} + x^{2} = 1

What is the answer to 10=u^{0.5}+u^{0.8}+u^{1.1} ?
The answer to 10=u^{0.5}+u^{0.8}+u^{1.1} is u=4.17653…
Solve for u: 10=u^{0.5}+u^{0.8}+u^{1.1}
The solution is u=4.17653…