What are the solutions to the equation 2x^3-x^2+11x-5=0 ?

The solutions to the equation 2x^3-x^2+11x-5=0 are x\approx 0.45620…

Find the zeros of 2x^3-x^2+11x-5=0

The zeros of 2x^3-x^2+11x-5=0 are x\approx 0.45620…

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2 x^{3} - x^{2} + 11 x - 5 = 0

x \approx 0.45620 \dots

Solution steps

2 x^{3} - x^{2} + 11 x - 5 = 0

Find one solution for

2 x^{3} - x^{2} + 11 x - 5 = 0

using Newton-Raphson:

x \approx 0.45620 \dots

Apply long division:

\frac{2 x ^{3} - x ^{2} + 11 x - 5}{x - 0.45620 \dots} = 2 x^{2} - 0.08759 \dots x + 10.96003 \dots

2 x^{2} - 0.08759 \dots x + 10.96003 \dots \approx 0

Find one solution for

2 x^{2} - 0.08759 \dots x + 10.96003 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 0.45620 \dots

12 (k (k^{2} - 4 k + 1) + 6) = 0

x^{3} - 5 x^{2} + 14 x = 0

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

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

(x - 5) (x^{2} - 4) = 0

What are the solutions to the equation 2x^3-x^2+11x-5=0 ?
The solutions to the equation 2x^3-x^2+11x-5=0 are x\approx 0.45620…
Find the zeros of 2x^3-x^2+11x-5=0
The zeros of 2x^3-x^2+11x-5=0 are x\approx 0.45620…