What are the solutions to the equation 0=x^3+2x-1 ?

The solutions to the equation 0=x^3+2x-1 are x\approx 0.45339…

Find the zeros of 0=x^3+2x-1

The zeros of 0=x^3+2x-1 are x\approx 0.45339…

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

x \approx 0.45339 \dots

Solution steps

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

Switch sides

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

Find one solution for

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

using Newton-Raphson:

x \approx 0.45339 \dots

Apply long division:

\frac{x ^{3} + 2 x - 1}{x - 0.45339 \dots} = x^{2} + 0.45339 \dots x + 2.20556 \dots

x^{2} + 0.45339 \dots x + 2.20556 \dots \approx 0

Find one solution for

x^{2} + 0.45339 \dots x + 2.20556 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 0.45339 \dots

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

2 x - 5 x^{2} + 8 x^{3} = 0

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

t^{4} - 256 = 0

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

What are the solutions to the equation 0=x^3+2x-1 ?
The solutions to the equation 0=x^3+2x-1 are x\approx 0.45339…
Find the zeros of 0=x^3+2x-1
The zeros of 0=x^3+2x-1 are x\approx 0.45339…