What is the answer to \sqrt[3]{x}=1-x,(0,1) ?

The answer to \sqrt[3]{x}=1-x,(0,1) is x\approx 0.31767…

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\sqrt[3]{x}=1-x,(0,1)

x \approx 0.31767 \dots

Solution steps

Take both sides of the equation to the power of

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

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

Solve

x = 1 - 3 x + 3 x^{2} - x^{3} : x \approx 0.31767 \dots

x \approx 0.31767 \dots

Verify Solutions:

x \approx 0.31767 \dots

True

The solution is

x \approx 0.31767 \dots

Check constrains

x \approx 0.31767 \dots

4 x + 4 = 7 x + 4

6 (x + 3) - 7 x + 3 - 3 = 0

2 x + 9 - 2 x - 7 = 2

600 = x^{\frac{2}{3}}

What is the answer to \sqrt[3]{x}=1-x,(0,1) ?
The answer to \sqrt[3]{x}=1-x,(0,1) is x\approx 0.31767…
Solve for x: \sqrt[3]{x}=1-x,(0,1)
The solution is x\approx 0.31767…