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

The solutions to the equation 0=x^3-x+3 are x\approx-1.67169…

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

The zeros of 0=x^3-x+3 are x\approx-1.67169…

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0 = x^{3} - x + 3

x \approx - 1.67169 \dots

Solution steps

0 = x^{3} - x + 3

Switch sides

x^{3} - x + 3 = 0

Find one solution for

x^{3} - x + 3 = 0

using Newton-Raphson:

x \approx - 1.67169 \dots

Apply long division:

\frac{x ^{3} - x + 3}{x + 1.67169 \dots} = x^{2} - 1.67169 \dots x + 1.79458 \dots

x^{2} - 1.67169 \dots x + 1.79458 \dots \approx 0

Find one solution for

x^{2} - 1.67169 \dots x + 1.79458 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 1.67169 \dots

x^{10} = 1024

x, y^{3} + 7 y = x^{3}

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

- x^{3} + 11 x^{2} - 30 x = 0

x^{4} + 5 x^{2} + 4 x = 0

What are the solutions to the equation 0=x^3-x+3 ?
The solutions to the equation 0=x^3-x+3 are x\approx-1.67169…
Find the zeros of 0=x^3-x+3
The zeros of 0=x^3-x+3 are x\approx-1.67169…