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

The solutions to the equation 2-x+x^3=0 are x\approx-1.52137…

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

The zeros of 2-x+x^3=0 are x\approx-1.52137…

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2 - x + x^{3} = 0

x \approx - 1.52137 \dots

Solution steps

2 - x + x^{3} = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

x^{3} - x + 2 = 0

Find one solution for

x^{3} - x + 2 = 0

using Newton-Raphson:

x \approx - 1.52137 \dots

Apply long division:

\frac{x ^{3} - x + 2}{x + 1.52137 \dots} = x^{2} - 1.52137 \dots x + 1.31459 \dots

x^{2} - 1.52137 \dots x + 1.31459 \dots \approx 0

Find one solution for

x^{2} - 1.52137 \dots x + 1.31459 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 1.52137 \dots

r^{3} = \frac{1}{7 ^{3}}

x^{3} - 27 x = 0

z^{6} - 12 = 0

- λ^{3} + 12 λ^{2} - 21 λ + 10 = 0

x^{4} + 2 x^{3} - 11 x^{2} - 12 x + 36 = 0

What are the solutions to the equation 2-x+x^3=0 ?
The solutions to the equation 2-x+x^3=0 are x\approx-1.52137…
Find the zeros of 2-x+x^3=0
The zeros of 2-x+x^3=0 are x\approx-1.52137…