What are the solutions to the equation 4x^3+16x^2+19x+5=0 ?

The solutions to the equation 4x^3+16x^2+19x+5=0 are x\approx-0.36523…

Find the zeros of 4x^3+16x^2+19x+5=0

The zeros of 4x^3+16x^2+19x+5=0 are x\approx-0.36523…

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4 x^{3} + 16 x^{2} + 19 x + 5 = 0

x \approx - 0.36523 \dots

Solution steps

4 x^{3} + 16 x^{2} + 19 x + 5 = 0

Find one solution for

4 x^{3} + 16 x^{2} + 19 x + 5 = 0

using Newton-Raphson:

x \approx - 0.36523 \dots

Apply long division:

\frac{4 x ^{3} + 16 x ^{2} + 19 x + 5}{x + 0.36523 \dots} = 4 x^{2} + 14.53906 \dots x + 13.68983 \dots

4 x^{2} + 14.53906 \dots x + 13.68983 \dots \approx 0

Find one solution for

4 x^{2} + 14.53906 \dots x + 13.68983 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 0.36523 \dots

- x^{3} - 3 x^{2} + 32 x - 60 = 0

4 x^{3} + 4 x^{2} - 21 x + 9 = 0

- 42 = 8 - 2 x^{3}

7 x^{4} - 6 x^{2} - 1 = 0

x^{5} - x^{4} - 3 x^{3} = 0

What are the solutions to the equation 4x^3+16x^2+19x+5=0 ?
The solutions to the equation 4x^3+16x^2+19x+5=0 are x\approx-0.36523…
Find the zeros of 4x^3+16x^2+19x+5=0
The zeros of 4x^3+16x^2+19x+5=0 are x\approx-0.36523…