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

The solutions to the equation solvefor x,x^5+3x^2+2x+1=0 are x\approx-1.26930…

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

The zeros of solvefor x,x^5+3x^2+2x+1=0 are x\approx-1.26930…

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solve for

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

x \approx - 1.26930 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx - 1.26930 \dots

Apply long division:

\frac{x ^{5} + 3 x ^{2} + 2 x + 1}{x + 1.26930 \dots} = x^{4} - 1.26930 \dots x^{3} + 1.61113 \dots x^{2} + 0.95498 \dots x + 0.78783 \dots

x^{4} - 1.26930 \dots x^{3} + 1.61113 \dots x^{2} + 0.95498 \dots x + 0.78783 \dots \approx 0

Find one solution for

x^{4} - 1.26930 \dots x^{3} + 1.61113 \dots x^{2} + 0.95498 \dots x + 0.78783 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 1.26930 \dots

2 x = λ \cdot 4 x^{3}

0.15 = (1 + \frac{x}{12})^{12} - 1

9 x^{3} + 54 x^{2} = x + 6

- 4 x^{3} + 6 x - 1 = 0

38 = h (2 h^{2} - 3 h)

What are the solutions to the equation solvefor x,x^5+3x^2+2x+1=0 ?
The solutions to the equation solvefor x,x^5+3x^2+2x+1=0 are x\approx-1.26930…
Find the zeros of solvefor x,x^5+3x^2+2x+1=0
The zeros of solvefor x,x^5+3x^2+2x+1=0 are x\approx-1.26930…