What are the solutions to the equation 4x^3+3x^2+2x+1=0 ?

The solutions to the equation 4x^3+3x^2+2x+1=0 are x\approx-0.60582…

Find the zeros of 4x^3+3x^2+2x+1=0

The zeros of 4x^3+3x^2+2x+1=0 are x\approx-0.60582…

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4 x^{3} + 3 x^{2} + 2 x + 1 = 0

x \approx - 0.60582 \dots

Solution steps

4 x^{3} + 3 x^{2} + 2 x + 1 = 0

Find one solution for

4 x^{3} + 3 x^{2} + 2 x + 1 = 0

using Newton-Raphson:

x \approx - 0.60582 \dots

Apply long division:

\frac{4 x ^{3} + 3 x ^{2} + 2 x + 1}{x + 0.60582 \dots} = 4 x^{2} + 0.57668 \dots x + 1.65062 \dots

4 x^{2} + 0.57668 \dots x + 1.65062 \dots \approx 0

Find one solution for

4 x^{2} + 0.57668 \dots x + 1.65062 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 0.60582 \dots

(x^{2} + 1)^{2} - 2 x^{2} + 15 = 0

y^{3} + 5 y^{2} - 25 y - 125 = 0

x^{3} - 12 x + 1 = 0

x^{5} = - 48

2 x^{4} - 9 x^{3} - 9 x^{2} + 81 x - 81 = 0

What are the solutions to the equation 4x^3+3x^2+2x+1=0 ?
The solutions to the equation 4x^3+3x^2+2x+1=0 are x\approx-0.60582…
Find the zeros of 4x^3+3x^2+2x+1=0
The zeros of 4x^3+3x^2+2x+1=0 are x\approx-0.60582…