What are the solutions to the equation x^3-4x^2+4x-4=0 ?

The solutions to the equation x^3-4x^2+4x-4=0 are x\approx 3.13039…

Find the zeros of x^3-4x^2+4x-4=0

The zeros of x^3-4x^2+4x-4=0 are x\approx 3.13039…

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

x \approx 3.13039 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx 3.13039 \dots

Apply long division:

\frac{x ^{3} - 4 x ^{2} + 4 x - 4}{x - 3.13039 \dots} = x^{2} - 0.86960 \dots x + 1.27779 \dots

x^{2} - 0.86960 \dots x + 1.27779 \dots \approx 0

Find one solution for

x^{2} - 0.86960 \dots x + 1.27779 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 3.13039 \dots

4 x^{3} - 6 x^{2} + 4 x = 0

x^{4} + 2 x^{3} + x^{2} + 8 x - 12

y, x^{5} + y^{5} = 16

x^{4} + 4 x^{3} + 9 x^{2} + 10 x + 7 = 0

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

What are the solutions to the equation x^3-4x^2+4x-4=0 ?
The solutions to the equation x^3-4x^2+4x-4=0 are x\approx 3.13039…
Find the zeros of x^3-4x^2+4x-4=0
The zeros of x^3-4x^2+4x-4=0 are x\approx 3.13039…