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

The solutions to the equation x^3-3x^2+5x-10=0 are x\approx 2.56894…

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

The zeros of x^3-3x^2+5x-10=0 are x\approx 2.56894…

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

x \approx 2.56894 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx 2.56894 \dots

Apply long division:

\frac{x ^{3} - 3 x ^{2} + 5 x - 10}{x - 2.56894 \dots} = x^{2} - 0.43105 \dots x + 3.89264 \dots

x^{2} - 0.43105 \dots x + 3.89264 \dots \approx 0

Find one solution for

x^{2} - 0.43105 \dots x + 3.89264 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 2.56894 \dots

x^{3} + 6 x^{2} + 5 x + 30 = 0

9 x^{5} - 36 x = 0

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

x^{3} - 6 x^{2} + 11 x - 6.1 = 0

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

What are the solutions to the equation x^3-3x^2+5x-10=0 ?
The solutions to the equation x^3-3x^2+5x-10=0 are x\approx 2.56894…
Find the zeros of x^3-3x^2+5x-10=0
The zeros of x^3-3x^2+5x-10=0 are x\approx 2.56894…