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

The solutions to the equation x^3+4x+4=0 are x\approx-0.84770…

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

The zeros of x^3+4x+4=0 are x\approx-0.84770…

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

x \approx - 0.84770 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx - 0.84770 \dots

Apply long division:

\frac{x ^{3} + 4 x + 4}{x + 0.84770 \dots} = x^{2} - 0.84770 \dots x + 4.71860 \dots

x^{2} - 0.84770 \dots x + 4.71860 \dots \approx 0

Find one solution for

x^{2} - 0.84770 \dots x + 4.71860 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 0.84770 \dots

x^{4} + 14 x^{3} + 77 x^{2} + 200 x + 208 = 0

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

2.5 x^{4} + 3 x^{3} - 2.6 x^{2} - 5.1 x - 5.6

3 (4 x^{12}) = 10

What are the solutions to the equation x^3+4x+4=0 ?
The solutions to the equation x^3+4x+4=0 are x\approx-0.84770…
Find the zeros of x^3+4x+4=0
The zeros of x^3+4x+4=0 are x\approx-0.84770…