What are the solutions to the equation 5x^3-5x^2+6x-2=0 ?

The solutions to the equation 5x^3-5x^2+6x-2=0 are x\approx 0.41810…

Find the zeros of 5x^3-5x^2+6x-2=0

The zeros of 5x^3-5x^2+6x-2=0 are x\approx 0.41810…

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

x \approx 0.41810 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx 0.41810 \dots

Apply long division:

\frac{5 x ^{3} - 5 x ^{2} + 6 x - 2}{x - 0.41810 \dots} = 5 x^{2} - 2.90949 \dots x + 4.78353 \dots

5 x^{2} - 2.90949 \dots x + 4.78353 \dots \approx 0

Find one solution for

5 x^{2} - 2.90949 \dots x + 4.78353 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 0.41810 \dots

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

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

(x + 5) x^{2} = - (x + 5)

20 = (5 + \frac{0.12 x}{10})^{20}

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

What are the solutions to the equation 5x^3-5x^2+6x-2=0 ?
The solutions to the equation 5x^3-5x^2+6x-2=0 are x\approx 0.41810…
Find the zeros of 5x^3-5x^2+6x-2=0
The zeros of 5x^3-5x^2+6x-2=0 are x\approx 0.41810…