What are the solutions to the equation -a^3+2a^2+3a+2=0 ?

The solutions to the equation -a^3+2a^2+3a+2=0 are a\approx 3.15275…

Find the zeros of -a^3+2a^2+3a+2=0

The zeros of -a^3+2a^2+3a+2=0 are a\approx 3.15275…

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- a^{3} + 2 a^{2} + 3 a + 2 = 0

a \approx 3.15275 \dots

Solution steps

- a^{3} + 2 a^{2} + 3 a + 2 = 0

Find one solution for

- a^{3} + 2 a^{2} + 3 a + 2 = 0

using Newton-Raphson:

a \approx 3.15275 \dots

Apply long division:

\frac{- a ^{3} + 2 a ^{2} + 3 a + 2}{a - 3.15275 \dots} = - a^{2} - 1.15275 \dots a - 0.63436 \dots

- a^{2} - 1.15275 \dots a - 0.63436 \dots \approx 0

Find one solution for

- a^{2} - 1.15275 \dots a - 0.63436 \dots = 0

using Newton-Raphson:

No Solution for

a \in R

The solution is

a \approx 3.15275 \dots

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

x, y = x^{3} + y

s^{3} + 12 s^{2} + 20 s = 0

x^{3} - 9 x^{2} + 31 x - 39 = 0

t^{3} - t^{2} - 2 t = 0

What are the solutions to the equation -a^3+2a^2+3a+2=0 ?
The solutions to the equation -a^3+2a^2+3a+2=0 are a\approx 3.15275…
Find the zeros of -a^3+2a^2+3a+2=0
The zeros of -a^3+2a^2+3a+2=0 are a\approx 3.15275…