What are the solutions to the equation (-1)(6x^3+x^2+x-1)=0 ?

The solutions to the equation (-1)(6x^3+x^2+x-1)=0 are x\approx 0.41172…

Find the zeros of (-1)(6x^3+x^2+x-1)=0

The zeros of (-1)(6x^3+x^2+x-1)=0 are x\approx 0.41172…

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(- 1) (6 x^{3} + x^{2} + x - 1) = 0

x \approx 0.41172 \dots

Solution steps

(- 1) (6 x^{3} + x^{2} + x - 1) = 0

Expand

(- 1) (6 x^{3} + x^{2} + x - 1) : - 6 x^{3} - x^{2} - x + 1

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

Find one solution for

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

using Newton-Raphson:

x \approx 0.41172 \dots

Apply long division:

\frac{- 6 x ^{3} - x ^{2} - x + 1}{x - 0.41172 \dots} = - 6 x^{2} - 3.47033 \dots x - 2.42881 \dots

- 6 x^{2} - 3.47033 \dots x - 2.42881 \dots \approx 0

Find one solution for

- 6 x^{2} - 3.47033 \dots x - 2.42881 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 0.41172 \dots

y, 27 x^{3} + y^{3} + z^{3} = 9 x \cdot z

13 3^{5} + 11 0^{5} + 8 4^{5} + 2 7^{5} = n^{5}

r^{3} = 8

z^{3} = - 27

(2 x^{3} + 7)^{2} + (2 x^{2} + 3)^{3} = 6 x^{2} + 6 x

What are the solutions to the equation (-1)(6x^3+x^2+x-1)=0 ?
The solutions to the equation (-1)(6x^3+x^2+x-1)=0 are x\approx 0.41172…
Find the zeros of (-1)(6x^3+x^2+x-1)=0
The zeros of (-1)(6x^3+x^2+x-1)=0 are x\approx 0.41172…