What is the answer to 3x^{1/3}+2x^{2/3}=5 ?

The answer to 3x^{1/3}+2x^{2/3}=5 is x=1,x=-125/8

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3x^{1/3}+2x^{2/3}=5

3 x^{\frac{1}{3}} + 2 x^{\frac{2}{3}} = 5

x = 1, x = - \frac{125}{8}

Decimal Notation

x = 1, x = - 15.625

Solution steps

3 x^{\frac{1}{3}} + 2 x^{\frac{2}{3}} = 5

Use the following exponent property

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

x^{\frac{2}{3}} = (x^{\frac{1}{3}})^{2}

3 x^{\frac{1}{3}} + 2 (x^{\frac{1}{3}})^{2} = 5

Rewrite the equation with

x^{\frac{1}{3}} = u

3 u + 2 u^{2} = 5

Solve

3 u + 2 u^{2} = 5 : u = 1, u = - \frac{5}{2}

u = 1, u = - \frac{5}{2}

Substitute back

u = x^{\frac{1}{3}},

solve for

x

Solve

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

Solve

x^{\frac{1}{3}} = - \frac{5}{2} : x = - \frac{125}{8}

x = 1, x = - \frac{125}{8}

Verify Solutions:

x = 1

True

, x = - \frac{125}{8}

True

The solutions are

x = 1, x = - \frac{125}{8}

\frac{2}{1 - x ^{2}} = π

x + 2 + 9 = 0

x^{- \frac{2}{3}} - 4 = 0

x + 6 = x

5 x + 1 = 9

What is the answer to 3x^{1/3}+2x^{2/3}=5 ?
The answer to 3x^{1/3}+2x^{2/3}=5 is x=1,x=-125/8
Solve for x: 3x^{1/3}+2x^{2/3}=5
The solution is x=1,x=-125/8