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 (x + 4) (x - 1) = 0

x^{3} - 49 x + 120 = 0

- x^{3} + 12 x^{2} - 21 x + 10 = 0

27 x^{3} - 512 = 0

y^{3} + y^{2} = 81 y + 81

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…