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

The solutions to the equation x^5-x^2+2x+3=0 are x\approx-0.87070…

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

The zeros of x^5-x^2+2x+3=0 are x\approx-0.87070…

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

x \approx - 0.87070 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx - 0.87070 \dots

Apply long division:

\frac{x ^{5} - x ^{2} + 2 x + 3}{x + 0.87070 \dots} = x^{4} - 0.87070 \dots x^{3} + 0.75813 \dots x^{2} - 1.66011 \dots x + 3.44547 \dots

x^{4} - 0.87070 \dots x^{3} + 0.75813 \dots x^{2} - 1.66011 \dots x + 3.44547 \dots \approx 0

Find one solution for

x^{4} - 0.87070 \dots x^{3} + 0.75813 \dots x^{2} - 1.66011 \dots x + 3.44547 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 0.87070 \dots

- x^{4} + 7 x^{2} - 3 x - 19 = 0

5 x^{3} + 45 x^{2} + 70 x = 0

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

(x + 4)^{3} = 0

(x - 1)^{3}

What are the solutions to the equation x^5-x^2+2x+3=0 ?
The solutions to the equation x^5-x^2+2x+3=0 are x\approx-0.87070…
Find the zeros of x^5-x^2+2x+3=0
The zeros of x^5-x^2+2x+3=0 are x\approx-0.87070…