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

The solutions to the equation 4x^3+x+3=0 are x\approx-0.81718…

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

The zeros of 4x^3+x+3=0 are x\approx-0.81718…

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

x \approx - 0.81718 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx - 0.81718 \dots

Apply long division:

\frac{4 x ^{3} + x + 3}{x + 0.81718 \dots} = 4 x^{2} - 3.26873 \dots x + 3.67114 \dots

4 x^{2} - 3.26873 \dots x + 3.67114 \dots \approx 0

Find one solution for

4 x^{2} - 3.26873 \dots x + 3.67114 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 0.81718 \dots

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

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

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

t^{6} - t^{2} = 0

2 x^{3} + 3 x^{2} + 50 x + 75 = 0

What are the solutions to the equation 4x^3+x+3=0 ?
The solutions to the equation 4x^3+x+3=0 are x\approx-0.81718…
Find the zeros of 4x^3+x+3=0
The zeros of 4x^3+x+3=0 are x\approx-0.81718…