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

The solutions to the equation x^3+4x+3=0 are x\approx-0.67359…

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

The zeros of x^3+4x+3=0 are x\approx-0.67359…

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

x \approx - 0.67359 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx - 0.67359 \dots

Apply long division:

\frac{x ^{3} + 4 x + 3}{x + 0.67359 \dots} = x^{2} - 0.67359 \dots x + 4.45372 \dots

x^{2} - 0.67359 \dots x + 4.45372 \dots \approx 0

Find one solution for

x^{2} - 0.67359 \dots x + 4.45372 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 0.67359 \dots

x^{3} + 4 x^{2} - 20 x = 80

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

x^{5} + 64 x^{2} = 0

x, 5 x^{3} - 8 = 2 y^{2}

x (3 + x)^{4} + (3 - x)^{4} = 386

What are the solutions to the equation x^3+4x+3=0 ?
The solutions to the equation x^3+4x+3=0 are x\approx-0.67359…
Find the zeros of x^3+4x+3=0
The zeros of x^3+4x+3=0 are x\approx-0.67359…