What are the solutions to the equation x^3-6x^2+9x-8=0 ?

The solutions to the equation x^3-6x^2+9x-8=0 are x\approx 4.35530…

Find the zeros of x^3-6x^2+9x-8=0

The zeros of x^3-6x^2+9x-8=0 are x\approx 4.35530…

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x^{3} - 6 x^{2} + 9 x - 8 = 0

x \approx 4.35530 \dots

Solution steps

x^{3} - 6 x^{2} + 9 x - 8 = 0

Find one solution for

x^{3} - 6 x^{2} + 9 x - 8 = 0

using Newton-Raphson:

x \approx 4.35530 \dots

Apply long division:

\frac{x ^{3} - 6 x ^{2} + 9 x - 8}{x - 4.35530 \dots} = x^{2} - 1.64469 \dots x + 1.83684 \dots

x^{2} - 1.64469 \dots x + 1.83684 \dots \approx 0

Find one solution for

x^{2} - 1.64469 \dots x + 1.83684 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 4.35530 \dots

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

4 x^{5} - 5 x^{4} + 5 x^{3} + 11 x^{2} - 24 x + 12 = 0

y, x^{4} + y^{4} = x^{2} y^{2}

x^{3} + 6 x^{2} + 8 x + 10

2 x^{3} - 6 x^{2} - 3 x - 10 = 0

What are the solutions to the equation x^3-6x^2+9x-8=0 ?
The solutions to the equation x^3-6x^2+9x-8=0 are x\approx 4.35530…
Find the zeros of x^3-6x^2+9x-8=0
The zeros of x^3-6x^2+9x-8=0 are x\approx 4.35530…