What are the solutions to the equation x^3-x-20=0 ?

The solutions to the equation x^3-x-20=0 are x\approx 2.83713…

Find the zeros of x^3-x-20=0

The zeros of x^3-x-20=0 are x\approx 2.83713…

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x^{3} - x - 20 = 0

x \approx 2.83713 \dots

Solution steps

x^{3} - x - 20 = 0

Find one solution for

x^{3} - x - 20 = 0

using Newton-Raphson:

x \approx 2.83713 \dots

Apply long division:

\frac{x ^{3} - x - 20}{x - 2.83713 \dots} = x^{2} + 2.83713 \dots x + 7.04935 \dots

x^{2} + 2.83713 \dots x + 7.04935 \dots \approx 0

Find one solution for

x^{2} + 2.83713 \dots x + 7.04935 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 2.83713 \dots

8.62 x^{3} - 4.5833 x - 0.8035 = 0

15 x^{3} + 14 x^{2} - 8 x = 9

15 x^{3} + 14 x^{2} - 8 x = 0

x^{3} - 9 x + 5 = 0

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

What are the solutions to the equation x^3-x-20=0 ?
The solutions to the equation x^3-x-20=0 are x\approx 2.83713…
Find the zeros of x^3-x-20=0
The zeros of x^3-x-20=0 are x\approx 2.83713…