What are the solutions to the equation 2x^3+5x-1=0 ?

The solutions to the equation 2x^3+5x-1=0 are x\approx 0.19694…

Find the zeros of 2x^3+5x-1=0

The zeros of 2x^3+5x-1=0 are x\approx 0.19694…

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

x \approx 0.19694 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx 0.19694 \dots

Apply long division:

\frac{2 x ^{3} + 5 x - 1}{x - 0.19694 \dots} = 2 x^{2} + 0.39388 \dots x + 5.07757 \dots

2 x^{2} + 0.39388 \dots x + 5.07757 \dots \approx 0

Find one solution for

2 x^{2} + 0.39388 \dots x + 5.07757 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 0.19694 \dots

x^{3} - x - 20 = 0

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

What are the solutions to the equation 2x^3+5x-1=0 ?
The solutions to the equation 2x^3+5x-1=0 are x\approx 0.19694…
Find the zeros of 2x^3+5x-1=0
The zeros of 2x^3+5x-1=0 are x\approx 0.19694…