What are the solutions to the equation x^3-3x^2+6=0 ?

The solutions to the equation x^3-3x^2+6=0 are x\approx-1.19582…

Find the zeros of x^3-3x^2+6=0

The zeros of x^3-3x^2+6=0 are x\approx-1.19582…

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

x \approx - 1.19582 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx - 1.19582 \dots

Apply long division:

\frac{x ^{3} - 3 x ^{2} + 6}{x + 1.19582 \dots} = x^{2} - 4.19582 \dots x + 5.01746 \dots

x^{2} - 4.19582 \dots x + 5.01746 \dots \approx 0

Find one solution for

x^{2} - 4.19582 \dots x + 5.01746 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 1.19582 \dots

y, y^{4} = x^{3} - 16 x

x^{6} - 2 x^{3} + 1 = 0

(x^{2} - 4) (x^{2} + 1) (x - 3) = 0

3 x^{3} + 5 x^{2} - 4 x - 4 = 0

x, x^{3} y - y^{2} = 3

What are the solutions to the equation x^3-3x^2+6=0 ?
The solutions to the equation x^3-3x^2+6=0 are x\approx-1.19582…
Find the zeros of x^3-3x^2+6=0
The zeros of x^3-3x^2+6=0 are x\approx-1.19582…