What are the solutions to the equation (-2)=x^3-2x^2+2 ?

The solutions to the equation (-2)=x^3-2x^2+2 are x\approx-1.13039…

Find the zeros of (-2)=x^3-2x^2+2

The zeros of (-2)=x^3-2x^2+2 are x\approx-1.13039…

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

x \approx - 1.13039 \dots

Solution steps

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

Refine

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

Switch sides

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

Move

2

to the left side

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

Find one solution for

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

using Newton-Raphson:

x \approx - 1.13039 \dots

Apply long division:

\frac{x ^{3} - 2 x ^{2} + 4}{x + 1.13039 \dots} = x^{2} - 3.13039 \dots x + 3.53858 \dots

x^{2} - 3.13039 \dots x + 3.53858 \dots \approx 0

Find one solution for

x^{2} - 3.13039 \dots x + 3.53858 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 1.13039 \dots

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

15625 x^{6} + 4096 = 0

x^{3} + 3 x^{2} + 2 x - 720 = 0

λ^{3} - 21 λ^{2} + 84 λ - 64 = 0

- x^{3} + x^{2} - 25 x + 25 = 0

What are the solutions to the equation (-2)=x^3-2x^2+2 ?
The solutions to the equation (-2)=x^3-2x^2+2 are x\approx-1.13039…
Find the zeros of (-2)=x^3-2x^2+2
The zeros of (-2)=x^3-2x^2+2 are x\approx-1.13039…