What are the solutions to the equation 3x^3-2x-2=0 ?

The solutions to the equation 3x^3-2x-2=0 are x\approx 1.12270…

Find the zeros of 3x^3-2x-2=0

The zeros of 3x^3-2x-2=0 are x\approx 1.12270…

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3 x^{3} - 2 x - 2 = 0

x \approx 1.12270 \dots

Solution steps

3 x^{3} - 2 x - 2 = 0

Find one solution for

3 x^{3} - 2 x - 2 = 0

using Newton-Raphson:

x \approx 1.12270 \dots

Apply long division:

\frac{3 x ^{3} - 2 x - 2}{x - 1.12270 \dots} = 3 x^{2} + 3.36811 \dots x + 1.78140 \dots

3 x^{2} + 3.36811 \dots x + 1.78140 \dots \approx 0

Find one solution for

3 x^{2} + 3.36811 \dots x + 1.78140 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.12270 \dots

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

1 x^{3} - 2 x^{2} - 5 x + 6 = 0

- 38 = - 3 y^{3} + 7

x^{3} - 4 x^{2} + 4 x + 16 = 0

12 x^{3} - 48 x^{2} + 48 x = 0

What are the solutions to the equation 3x^3-2x-2=0 ?
The solutions to the equation 3x^3-2x-2=0 are x\approx 1.12270…
Find the zeros of 3x^3-2x-2=0
The zeros of 3x^3-2x-2=0 are x\approx 1.12270…