What are the solutions to the equation x^3-2x^2-1=0 ?

The solutions to the equation x^3-2x^2-1=0 are x\approx 2.20556…

Find the zeros of x^3-2x^2-1=0

The zeros of x^3-2x^2-1=0 are x\approx 2.20556…

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

x \approx 2.20556 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx 2.20556 \dots

Apply long division:

\frac{x ^{3} - 2 x ^{2} - 1}{x - 2.20556 \dots} = x^{2} + 0.20556 \dots x + 0.45339 \dots

x^{2} + 0.20556 \dots x + 0.45339 \dots \approx 0

Find one solution for

x^{2} + 0.20556 \dots x + 0.45339 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 2.20556 \dots

3 = \frac{1}{4} x^{3} + x - 1

s^{3} + s^{2} + 4 s + 4 = 0

(- 11 x^{2} + 62) (- 9 x^{2} + 25) - (- 11) (- 11) = 0

1 - \frac{5}{2} x + 2 x^{2} - \frac{1}{2} x^{3} = 0

10 x^{3} - 39 x^{2} + 29 x - 6 = 0

What are the solutions to the equation x^3-2x^2-1=0 ?
The solutions to the equation x^3-2x^2-1=0 are x\approx 2.20556…
Find the zeros of x^3-2x^2-1=0
The zeros of x^3-2x^2-1=0 are x\approx 2.20556…