What are the solutions to the equation m^3+2m^2+5m+6=0 ?

The solutions to the equation m^3+2m^2+5m+6=0 are m\approx-1.43287…

Find the zeros of m^3+2m^2+5m+6=0

The zeros of m^3+2m^2+5m+6=0 are m\approx-1.43287…

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m^{3} + 2 m^{2} + 5 m + 6 = 0

m \approx - 1.43287 \dots

Solution steps

m^{3} + 2 m^{2} + 5 m + 6 = 0

Find one solution for

m^{3} + 2 m^{2} + 5 m + 6 = 0

using Newton-Raphson:

m \approx - 1.43287 \dots

Apply long division:

\frac{m ^{3} + 2 m ^{2} + 5 m + 6}{m + 1.43287 \dots} = m^{2} + 0.56712 \dots m + 4.18738 \dots

m^{2} + 0.56712 \dots m + 4.18738 \dots \approx 0

Find one solution for

m^{2} + 0.56712 \dots m + 4.18738 \dots = 0

using Newton-Raphson:

No Solution for

m \in R

The solution is

m \approx - 1.43287 \dots

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

2 x^{3} - 11 x^{2} + 17 x - 6 = 0

x (2 x - 3) - (2 x + 6) (3 - 2 x)^{2} = 0

y, x = (y + 5)^{3}

y^{4} = 15 y^{2} - 44

What are the solutions to the equation m^3+2m^2+5m+6=0 ?
The solutions to the equation m^3+2m^2+5m+6=0 are m\approx-1.43287…
Find the zeros of m^3+2m^2+5m+6=0
The zeros of m^3+2m^2+5m+6=0 are m\approx-1.43287…