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

The solutions to the equation x^3+5x^2+4x+4=0 are x\approx-4.28427…

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

The zeros of x^3+5x^2+4x+4=0 are x\approx-4.28427…

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

x \approx - 4.28427 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx - 4.28427 \dots

Apply long division:

\frac{x ^{3} + 5 x ^{2} + 4 x + 4}{x + 4.28427 \dots} = x^{2} + 0.71572 \dots x + 0.93364 \dots

x^{2} + 0.71572 \dots x + 0.93364 \dots \approx 0

Find one solution for

x^{2} + 0.71572 \dots x + 0.93364 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 4.28427 \dots

r^{3} - 4 r = 0

3 x^{3} + 6 x^{2} + 3 x = 0

x^{4} - 3 x^{3} + 8 x - 2 = 0

t = - t^{3} + 10 t^{2} - 29 t + 29

2 x^{3} + 3 x^{2} - 12 x + 6 = 0

What are the solutions to the equation x^3+5x^2+4x+4=0 ?
The solutions to the equation x^3+5x^2+4x+4=0 are x\approx-4.28427…
Find the zeros of x^3+5x^2+4x+4=0
The zeros of x^3+5x^2+4x+4=0 are x\approx-4.28427…