What is the answer to x^{2/5}-3x^{1/5}+2=0 ?

The answer to x^{2/5}-3x^{1/5}+2=0 is x=32,x=1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

x^{2/5}-3x^{1/5}+2=0

x^{\frac{2}{5}} - 3 x^{\frac{1}{5}} + 2 = 0

x = 32, x = 1

Solution steps

x^{\frac{2}{5}} - 3 x^{\frac{1}{5}} + 2 = 0

Use the following exponent property

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

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

(x^{\frac{1}{5}})^{2} - 3 x^{\frac{1}{5}} + 2 = 0

Rewrite the equation with

x^{\frac{1}{5}} = u

u^{2} - 3 u + 2 = 0

Solve

u^{2} - 3 u + 2 = 0 : u = 2, u = 1

u = 2, u = 1

Substitute back

u = x^{\frac{1}{5}},

solve for

x

Solve

x^{\frac{1}{5}} = 2 : x = 32

Solve

x^{\frac{1}{5}} = 1 : x = 1

x = 32, x = 1

Verify Solutions:

x = 32

True

, x = 1

True

The solutions are

x = 32, x = 1

a, c = a^{2} + b^{2}

x^{2} - 2 3 x + 3 = 0

x + 2 = 3

1200 = 100 q - 2 q

x + 2 = x - 4

What is the answer to x^{2/5}-3x^{1/5}+2=0 ?
The answer to x^{2/5}-3x^{1/5}+2=0 is x=32,x=1
Solve for x: x^{2/5}-3x^{1/5}+2=0
The solution is x=32,x=1