What are the solutions to the equation 6x^5-4x^3+1=0 ?

The solutions to the equation 6x^5-4x^3+1=0 are x\approx-0.93355…

Find the zeros of 6x^5-4x^3+1=0

The zeros of 6x^5-4x^3+1=0 are x\approx-0.93355…

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6 x^{5} - 4 x^{3} + 1 = 0

x \approx - 0.93355 \dots

Solution steps

6 x^{5} - 4 x^{3} + 1 = 0

Find one solution for

6 x^{5} - 4 x^{3} + 1 = 0

using Newton-Raphson:

x \approx - 0.93355 \dots

Apply long division:

\frac{6 x ^{5} - 4 x ^{3} + 1}{x + 0.93355 \dots} = 6 x^{4} - 5.60130 \dots x^{3} + 1.22909 \dots x^{2} - 1.14742 \dots x + 1.07117 \dots

6 x^{4} - 5.60130 \dots x^{3} + 1.22909 \dots x^{2} - 1.14742 \dots x + 1.07117 \dots \approx 0

Find one solution for

6 x^{4} - 5.60130 \dots x^{3} + 1.22909 \dots x^{2} - 1.14742 \dots x + 1.07117 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 0.93355 \dots

x^{4} = \frac{1}{3}

x^{4} = \frac{1}{5}

z^{6} - z^{2} - 2 = 0

20 \cdot a^{3} = 1280

x^{3} - 9 x^{2} - 81 x + 729 = 0

What are the solutions to the equation 6x^5-4x^3+1=0 ?
The solutions to the equation 6x^5-4x^3+1=0 are x\approx-0.93355…
Find the zeros of 6x^5-4x^3+1=0
The zeros of 6x^5-4x^3+1=0 are x\approx-0.93355…