What are the solutions to the equation solvefor x,x^3-2x^2-9x=18 ?

The solutions to the equation solvefor x,x^3-2x^2-9x=18 are x\approx 4.71698…

Find the zeros of solvefor x,x^3-2x^2-9x=18

The zeros of solvefor x,x^3-2x^2-9x=18 are x\approx 4.71698…

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solve for

x, x^{3} - 2 x^{2} - 9 x = 18

x \approx 4.71698 \dots

Solution steps

x^{3} - 2 x^{2} - 9 x = 18

Move

18

to the left side

x^{3} - 2 x^{2} - 9 x - 18 = 0

Find one solution for

x^{3} - 2 x^{2} - 9 x - 18 = 0

using Newton-Raphson:

x \approx 4.71698 \dots

Apply long division:

\frac{x ^{3} - 2 x ^{2} - 9 x - 18}{x - 4.71698 \dots} = x^{2} + 2.71698 \dots x + 3.81599 \dots

x^{2} + 2.71698 \dots x + 3.81599 \dots \approx 0

Find one solution for

x^{2} + 2.71698 \dots x + 3.81599 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 4.71698 \dots

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

x^{3} + 3 x^{2} + 18 x = 0

625 = x^{4}

x^{5} + 2 x^{3} + x^{2} + 2 = 0

- x^{3} - 5 x^{2} + 25 x + 125 = 0

What are the solutions to the equation solvefor x,x^3-2x^2-9x=18 ?
The solutions to the equation solvefor x,x^3-2x^2-9x=18 are x\approx 4.71698…
Find the zeros of solvefor x,x^3-2x^2-9x=18
The zeros of solvefor x,x^3-2x^2-9x=18 are x\approx 4.71698…