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

The answer to x^3-3=\sqrt[3]{x+3} is x\approx 1.67169…

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

x \approx 1.67169 \dots

Solution steps

Take both sides of the equation to the power of

3 : x^{9} - 9 x^{6} + 27 x^{3} - 27 = x + 3

x^{9} - 9 x^{6} + 27 x^{3} - 27 = x + 3

Solve

x^{9} - 9 x^{6} + 27 x^{3} - 27 = x + 3 : x \approx 1.67169 \dots

x \approx 1.67169 \dots

Verify Solutions:

x \approx 1.67169 \dots

True

The solution is

x \approx 1.67169 \dots

(x - 3)^{3} - 64 = 0

5 x - 1 = 40

2 d - 4 = 6 d

3 x + 15 + 8 = x + 7

(x - 5)^{\frac{3}{2}} = 125

What is the answer to x^3-3=\sqrt[3]{x+3} ?
The answer to x^3-3=\sqrt[3]{x+3} is x\approx 1.67169…
Solve for x: x^3-3=\sqrt[3]{x+3}
The solution is x\approx 1.67169…