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

The solutions to the equation x^3+x^2+2=0 are x\approx-1.69562…

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

The zeros of x^3+x^2+2=0 are x\approx-1.69562…

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

x \approx - 1.69562 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx - 1.69562 \dots

Apply long division:

\frac{x ^{3} + x ^{2} + 2}{x + 1.69562 \dots} = x^{2} - 0.69562 \dots x + 1.17950 \dots

x^{2} - 0.69562 \dots x + 1.17950 \dots \approx 0

Find one solution for

x^{2} - 0.69562 \dots x + 1.17950 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 1.69562 \dots

x^{3} + 20 x = 9 x^{2}

x, x^{3} + y^{3} = 3

x, x^{3} + y^{3} = 4

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

- x^{3} + 7 x^{2} - 14 x + 8 = 0

What are the solutions to the equation x^3+x^2+2=0 ?
The solutions to the equation x^3+x^2+2=0 are x\approx-1.69562…
Find the zeros of x^3+x^2+2=0
The zeros of x^3+x^2+2=0 are x\approx-1.69562…