What is the answer to x^3-1=\sqrt[3]{x+1} ?

The answer to x^3-1=\sqrt[3]{x+1} is x\approx 1.32471…

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x^3-1=\sqrt[3]{x+1}

x \approx 1.32471 \dots

Solution steps

Take both sides of the equation to the power of

3 : x^{9} - 3 x^{6} + 3 x^{3} - 1 = x + 1

x^{9} - 3 x^{6} + 3 x^{3} - 1 = x + 1

Solve

x^{9} - 3 x^{6} + 3 x^{3} - 1 = x + 1 : x \approx 1.32471 \dots

x \approx 1.32471 \dots

Verify Solutions:

x \approx 1.32471 \dots

True

The solution is

x \approx 1.32471 \dots

x^{- 0.5} = 10.23

2 1 - r = 1 + 2 r - 1

3 x^{\frac{5}{2}} - 24 x^{2} = 0

X + 4 X + 1 = 5

What is the answer to x^3-1=\sqrt[3]{x+1} ?
The answer to x^3-1=\sqrt[3]{x+1} is x\approx 1.32471…
Solve for x: x^3-1=\sqrt[3]{x+1}
The solution is x\approx 1.32471…