What are the solutions to the equation 8x^3-3x^2-3x-1=0 ?

The solutions to the equation 8x^3-3x^2-3x-1=0 are x\approx 0.92585…

Find the zeros of 8x^3-3x^2-3x-1=0

The zeros of 8x^3-3x^2-3x-1=0 are x\approx 0.92585…

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

x \approx 0.92585 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx 0.92585 \dots

Apply long division:

\frac{8 x ^{3} - 3 x ^{2} - 3 x - 1}{x - 0.92585 \dots} = 8 x^{2} + 4.40683 \dots x + 1.08008 \dots

8 x^{2} + 4.40683 \dots x + 1.08008 \dots \approx 0

Find one solution for

8 x^{2} + 4.40683 \dots x + 1.08008 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 0.92585 \dots

- 3 x (x + 9) (x^{2} + 1) = 0

16 z^{4} - 4 z^{2} + 1 = 0

5 x^{3} - 27 x^{2} - 17 x - 6 = 0

5 x^{5} - 45 x = 0

- x^{4} - 8 x^{3} + 7 x^{2} + 56 x = 0

What are the solutions to the equation 8x^3-3x^2-3x-1=0 ?
The solutions to the equation 8x^3-3x^2-3x-1=0 are x\approx 0.92585…
Find the zeros of 8x^3-3x^2-3x-1=0
The zeros of 8x^3-3x^2-3x-1=0 are x\approx 0.92585…