What are the solutions to the equation -x^3+5x^2-10x+10=0 ?

The solutions to the equation -x^3+5x^2-10x+10=0 are x\approx 2.65062…

Find the zeros of -x^3+5x^2-10x+10=0

The zeros of -x^3+5x^2-10x+10=0 are x\approx 2.65062…

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- x^{3} + 5 x^{2} - 10 x + 10 = 0

x \approx 2.65062 \dots

Solution steps

- x^{3} + 5 x^{2} - 10 x + 10 = 0

Find one solution for

- x^{3} + 5 x^{2} - 10 x + 10 = 0

using Newton-Raphson:

x \approx 2.65062 \dots

Apply long division:

\frac{- x ^{3} + 5 x ^{2} - 10 x + 10}{x - 2.65062 \dots} = - x^{2} + 2.34937 \dots x - 3.77268 \dots

- x^{2} + 2.34937 \dots x - 3.77268 \dots \approx 0

Find one solution for

- x^{2} + 2.34937 \dots x - 3.77268 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 2.65062 \dots

(x^{2} + 3)^{2} = 0

- x^{3} + 4 x = 0

x (x + 2)^{2} (x + 5) + x (x + 2)^{3} = 0

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

- 4 x^{3} + 12 x^{2} + 16 x = 0

What are the solutions to the equation -x^3+5x^2-10x+10=0 ?
The solutions to the equation -x^3+5x^2-10x+10=0 are x\approx 2.65062…
Find the zeros of -x^3+5x^2-10x+10=0
The zeros of -x^3+5x^2-10x+10=0 are x\approx 2.65062…