What are the solutions to the equation x^3-5x^2-x-1=0 ?

The solutions to the equation x^3-5x^2-x-1=0 are x\approx 5.22787…

Find the zeros of x^3-5x^2-x-1=0

The zeros of x^3-5x^2-x-1=0 are x\approx 5.22787…

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x^{3} - 5 x^{2} - x - 1 = 0

x \approx 5.22787 \dots

Solution steps

x^{3} - 5 x^{2} - x - 1 = 0

Find one solution for

x^{3} - 5 x^{2} - x - 1 = 0

using Newton-Raphson:

x \approx 5.22787 \dots

Apply long division:

\frac{x ^{3} - 5 x ^{2} - x - 1}{x - 5.22787 \dots} = x^{2} + 0.22787 \dots x + 0.19128 \dots

x^{2} + 0.22787 \dots x + 0.19128 \dots \approx 0

Find one solution for

x^{2} + 0.22787 \dots x + 0.19128 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 5.22787 \dots

x^{3} - 4 x^{2} + 7 x - 1 = 0

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

x (x + 3) (x - 1) = 0

x^{3} + x^{2} = 25 x + 25

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

What are the solutions to the equation x^3-5x^2-x-1=0 ?
The solutions to the equation x^3-5x^2-x-1=0 are x\approx 5.22787…
Find the zeros of x^3-5x^2-x-1=0
The zeros of x^3-5x^2-x-1=0 are x\approx 5.22787…