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

The answer to x+1=3x^{1/3} is x\approx 0.04188…,x\approx 3.59626…,x\approx-6.63815…

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

The solution is x\approx 0.04188…,x\approx 3.59626…,x\approx-6.63815…

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

x \approx 0.04188 \dots, x \approx 3.59626 \dots, x \approx - 6.63815 \dots

Solution steps

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

Take both sides of the equation to the power of

3 : x^{3} + 3 x^{2} + 3 x + 1 = 27 x

x^{3} + 3 x^{2} + 3 x + 1 = 27 x

Solve

x^{3} + 3 x^{2} + 3 x + 1 = 27 x : x \approx 0.04188 \dots, x \approx 3.59626 \dots, x \approx - 6.63815 \dots

x \approx 0.04188 \dots, x \approx 3.59626 \dots, x \approx - 6.63815 \dots

Verify Solutions:

x \approx 0.04188 \dots

True

, x \approx 3.59626 \dots

True

, x \approx - 6.63815 \dots

True

The solutions are

x \approx 0.04188 \dots, x \approx 3.59626 \dots, x \approx - 6.63815 \dots

\frac{b}{4 b - 8 - 3} = 17

2 x - \frac{1}{x ^{\frac{1}{2}}} = 0

3 q + 2 = 5

\frac{1}{4} x - 3 - 5 = - 3

1.5 = 2.18 (x - 1.72)^{\frac{3}{2}}

What is the answer to x+1=3x^{1/3} ?
The answer to x+1=3x^{1/3} is x\approx 0.04188…,x\approx 3.59626…,x\approx-6.63815…
Solve for x: x+1=3x^{1/3}
The solution is x\approx 0.04188…,x\approx 3.59626…,x\approx-6.63815…