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

The solutions to the equation x^3+x^2+2x+5=0 are x\approx-1.63980…

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

The zeros of x^3+x^2+2x+5=0 are x\approx-1.63980…

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

x \approx - 1.63980 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx - 1.63980 \dots

Apply long division:

\frac{x ^{3} + x ^{2} + 2 x + 5}{x + 1.63980 \dots} = x^{2} - 0.63980 \dots x + 3.04914 \dots

x^{2} - 0.63980 \dots x + 3.04914 \dots \approx 0

Find one solution for

x^{2} - 0.63980 \dots x + 3.04914 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 1.63980 \dots

b x^{3} = 15

x^{5} - 2 x^{4} - 5 x^{3} + 6 x^{2} = 0

x^{3} - 3 x^{2} - 16 x - 12 = 0

4 x^{3} + 3 x^{2} + 64 x + 48 = 0

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

What are the solutions to the equation x^3+x^2+2x+5=0 ?
The solutions to the equation x^3+x^2+2x+5=0 are x\approx-1.63980…
Find the zeros of x^3+x^2+2x+5=0
The zeros of x^3+x^2+2x+5=0 are x\approx-1.63980…