What are the solutions to the equation x^3-9x^2+24x-8=0 ?

The solutions to the equation x^3-9x^2+24x-8=0 are x\approx 0.38711…

Find the zeros of x^3-9x^2+24x-8=0

The zeros of x^3-9x^2+24x-8=0 are x\approx 0.38711…

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x^{3} - 9 x^{2} + 24 x - 8 = 0

x \approx 0.38711 \dots

Solution steps

x^{3} - 9 x^{2} + 24 x - 8 = 0

Find one solution for

x^{3} - 9 x^{2} + 24 x - 8 = 0

using Newton-Raphson:

x \approx 0.38711 \dots

Apply long division:

\frac{x ^{3} - 9 x ^{2} + 24 x - 8}{x - 0.38711 \dots} = x^{2} - 8.61288 \dots x + 20.66584 \dots

x^{2} - 8.61288 \dots x + 20.66584 \dots \approx 0

Find one solution for

x^{2} - 8.61288 \dots x + 20.66584 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 0.38711 \dots

x^{2} + (x^{2} - 4)^{2} = 16

x^{6} = 256

6 j^{4} = 96

2 x^{4} + 7 x^{2} - 225 = 0

3 x^{3} - 15 x^{2} + 18 x = 0

What are the solutions to the equation x^3-9x^2+24x-8=0 ?
The solutions to the equation x^3-9x^2+24x-8=0 are x\approx 0.38711…
Find the zeros of x^3-9x^2+24x-8=0
The zeros of x^3-9x^2+24x-8=0 are x\approx 0.38711…