What are the solutions to the equation x^5+2x^4+2x^3+4x^2+11x+10=0 ?

The solutions to the equation x^5+2x^4+2x^3+4x^2+11x+10=0 are x\approx-1.30871…

Find the zeros of x^5+2x^4+2x^3+4x^2+11x+10=0

The zeros of x^5+2x^4+2x^3+4x^2+11x+10=0 are x\approx-1.30871…

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x^{5} + 2 x^{4} + 2 x^{3} + 4 x^{2} + 11 x + 10 = 0

x \approx - 1.30871 \dots

Solution steps

x^{5} + 2 x^{4} + 2 x^{3} + 4 x^{2} + 11 x + 10 = 0

Find one solution for

x^{5} + 2 x^{4} + 2 x^{3} + 4 x^{2} + 11 x + 10 = 0

using Newton-Raphson:

x \approx - 1.30871 \dots

Apply long division:

\frac{x ^{5} + 2 x ^{4} + 2 x ^{3} + 4 x ^{2} + 11 x + 10}{x + 1.30871 \dots} = x^{4} + 0.69128 \dots x^{3} + 1.09530 \dots x^{2} + 2.56656 \dots x + 7.64110 \dots

x^{4} + 0.69128 \dots x^{3} + 1.09530 \dots x^{2} + 2.56656 \dots x + 7.64110 \dots \approx 0

Find one solution for

x^{4} + 0.69128 \dots x^{3} + 1.09530 \dots x^{2} + 2.56656 \dots x + 7.64110 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 1.30871 \dots

x^{3} = x^{2} + 20 x

2 x^{3} - 9 x^{2} + 10 x - 3 = 0

16 x^{3} - 4 x^{2} - 20 x + 5

r^{3} - r^{2} - r + 1 = 0

3 (4 x - 3)^{4} = 1875

What are the solutions to the equation x^5+2x^4+2x^3+4x^2+11x+10=0 ?
The solutions to the equation x^5+2x^4+2x^3+4x^2+11x+10=0 are x\approx-1.30871…
Find the zeros of x^5+2x^4+2x^3+4x^2+11x+10=0
The zeros of x^5+2x^4+2x^3+4x^2+11x+10=0 are x\approx-1.30871…