What is the answer to 12x^4-96x^{13/4}=0 ?

The answer to 12x^4-96x^{13/4}=0 is x=0,x=16

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

12x^4-96x^{13/4}=0

12 x^{4} - 96 x^{\frac{13}{4}} = 0

x = 0, x = 16

Solution steps

12 x^{4} - 96 x^{\frac{13}{4}} = 0

Use the following exponent property

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

x^{4} = (x^{\frac{1}{4}})^{(4 \cdot 4)}

Use the following exponent property

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

x^{\frac{13}{4}} = (x^{\frac{1}{4}})^{13}

12 (x^{\frac{1}{4}})^{16} - 96 (x^{\frac{1}{4}})^{13} = 0

Rewrite the equation with

x^{\frac{1}{4}} = u

12 u^{16} - 96 u^{13} = 0

Solve

12 u^{16} - 96 u^{13} = 0 : u = 0, u = 2

u = 0, u = 2

Substitute back

u = x^{\frac{1}{4}},

solve for

x

Solve

x^{\frac{1}{4}} = 0 : x = 0

Solve

x^{\frac{1}{4}} = 2 : x = 16

x = 0, x = 16

Verify Solutions:

x = 0

True

, x = 16

True

The solutions are

x = 0, x = 16

x + 3 2 - x = 4

(x - 4)^{3} = 125

x + 10 x + 6 = 9

7 + x - 3 = 0

y^{\frac{4}{5}} = 34

What is the answer to 12x^4-96x^{13/4}=0 ?
The answer to 12x^4-96x^{13/4}=0 is x=0,x=16
Solve for x: 12x^4-96x^{13/4}=0
The solution is x=0,x=16