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…

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(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

(5 z - 1)^{\frac{1}{4}} - 4 = - 2

x^{1.15} = 1.02678 x^{1.4}

2 x - 3 - 1 = x

4 = \frac{x}{2 x - 2}

1 + x - 1 = 0.05

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…