What are the solutions to the equation 2x^3-6x^2+6x-1=-5 ?

The solutions to the equation 2x^3-6x^2+6x-1=-5 are x\approx-0.44224…

Find the zeros of 2x^3-6x^2+6x-1=-5

The zeros of 2x^3-6x^2+6x-1=-5 are x\approx-0.44224…

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2 x^{3} - 6 x^{2} + 6 x - 1 = - 5

x \approx - 0.44224 \dots

Solution steps

2 x^{3} - 6 x^{2} + 6 x - 1 = - 5

Move

5

to the left side

2 x^{3} - 6 x^{2} + 6 x + 4 = 0

Find one solution for

2 x^{3} - 6 x^{2} + 6 x + 4 = 0

using Newton-Raphson:

x \approx - 0.44224 \dots

Apply long division:

\frac{2 x ^{3} - 6 x ^{2} + 6 x + 4}{x + 0.44224 \dots} = 2 x^{2} - 6.88449 \dots x + 9.04466 \dots

2 x^{2} - 6.88449 \dots x + 9.04466 \dots \approx 0

Find one solution for

2 x^{2} - 6.88449 \dots x + 9.04466 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 0.44224 \dots

t^{3} = d (2 + a)

x^{3} = \frac{8}{729}

r^{4} + r^{3} + r^{2} = 0

t^{3} - 2 t = 4

2 x^{3} - 5 = 0

What are the solutions to the equation 2x^3-6x^2+6x-1=-5 ?
The solutions to the equation 2x^3-6x^2+6x-1=-5 are x\approx-0.44224…
Find the zeros of 2x^3-6x^2+6x-1=-5
The zeros of 2x^3-6x^2+6x-1=-5 are x\approx-0.44224…