What is the answer to (x)=x^{1/3}(x+4) ?

The answer to (x)=x^{1/3}(x+4) is x=0,x\approx-2.27183…

Solve for x: (x)=x^{1/3}(x+4)

The solution is x=0,x\approx-2.27183…

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(x) = x^{\frac{1}{3}} (x + 4)

x = 0, x \approx - 2.27183 \dots

Solution steps

(x) = x^{\frac{1}{3}} (x + 4)

Expand

x^{\frac{1}{3}} (x + 4) : x^{\frac{1}{3}} x + 4 x^{\frac{1}{3}}

x = x^{\frac{1}{3}} x + 4 x^{\frac{1}{3}}

Factor

x^{\frac{1}{3}} x + 4 x^{\frac{1}{3}} : x^{\frac{1}{3}} (x + 4)

x = x^{\frac{1}{3}} (x + 4)

Take both sides of the equation to the power of

3 : x^{3} = x^{4} + 12 x^{3} + 48 x^{2} + 64 x

x^{3} = x^{4} + 12 x^{3} + 48 x^{2} + 64 x

Solve

x^{3} = x^{4} + 12 x^{3} + 48 x^{2} + 64 x : x = 0, x \approx - 2.27183 \dots

x = 0, x \approx - 2.27183 \dots

Verify Solutions:

x = 0

True

, x \approx - 2.27183 \dots

True

The solutions are

x = 0, x \approx - 2.27183 \dots

p^{\frac{- 5}{2}} = 2^{- 5}

7 - 3 p = p

x^{2} + x^{2} = 20

x^{2} + x^{2} = 16

2 x + 3 = - x

What is the answer to (x)=x^{1/3}(x+4) ?
The answer to (x)=x^{1/3}(x+4) is x=0,x\approx-2.27183…
Solve for x: (x)=x^{1/3}(x+4)
The solution is x=0,x\approx-2.27183…