What are the solutions to the equation 1-9x-6x-x^3=0 ?

The solutions to the equation 1-9x-6x-x^3=0 are x\approx 0.06664…

Find the zeros of 1-9x-6x-x^3=0

The zeros of 1-9x-6x-x^3=0 are x\approx 0.06664…

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1 - 9 x - 6 x - x^{3} = 0

x \approx 0.06664 \dots

Solution steps

1 - 9 x - 6 x - x^{3} = 0

Refine

1 - 15 x - x^{3} = 0

Write in the standard form

a_{n} x^{n} + \dots + a_{1} x + a_{0} = 0

- x^{3} - 15 x + 1 = 0

Find one solution for

- x^{3} - 15 x + 1 = 0

using Newton-Raphson:

x \approx 0.06664 \dots

Apply long division:

\frac{- x ^{3} - 15 x + 1}{x - 0.06664 \dots} = - x^{2} - 0.06664 \dots x - 15.00444 \dots

- x^{2} - 0.06664 \dots x - 15.00444 \dots \approx 0

Find one solution for

- x^{2} - 0.06664 \dots x - 15.00444 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 0.06664 \dots

(x - 3) (x + 4) (x + 5) (x - 4) = 180

6 - 3 (x + 1) = - 4 x^{2} (1 - x)

3 x^{4} - 3 x^{3} - 1 x^{2} = 0

z \cdot z^{3} + 15 = 16.66

z^{3} - z^{2} + 4 z - 4 = 0

What are the solutions to the equation 1-9x-6x-x^3=0 ?
The solutions to the equation 1-9x-6x-x^3=0 are x\approx 0.06664…
Find the zeros of 1-9x-6x-x^3=0
The zeros of 1-9x-6x-x^3=0 are x\approx 0.06664…