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

The solutions to the equation x^3+5x^2+4x+5=0 are x\approx-4.34417…

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

The zeros of x^3+5x^2+4x+5=0 are x\approx-4.34417…

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

x \approx - 4.34417 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx - 4.34417 \dots

Apply long division:

\frac{x ^{3} + 5 x ^{2} + 4 x + 5}{x + 4.34417 \dots} = x^{2} + 0.65582 \dots x + 1.15096 \dots

x^{2} + 0.65582 \dots x + 1.15096 \dots \approx 0

Find one solution for

x^{2} + 0.65582 \dots x + 1.15096 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 4.34417 \dots

y, x = y^{5} - 2

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

24 x^{4} - 2 x^{2} - 1 = 0

x^{3} + x^{2} - 16 x + 20 = 0

- 3 x + 15 = x^{4} + 3 x^{2} + 5 x + 3

What are the solutions to the equation x^3+5x^2+4x+5=0 ?
The solutions to the equation x^3+5x^2+4x+5=0 are x\approx-4.34417…
Find the zeros of x^3+5x^2+4x+5=0
The zeros of x^3+5x^2+4x+5=0 are x\approx-4.34417…