What are the solutions to the equation x^3-9x-12=0 ?

The solutions to the equation x^3-9x-12=0 are x\approx 3.52233…

Find the zeros of x^3-9x-12=0

The zeros of x^3-9x-12=0 are x\approx 3.52233…

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x^{3} - 9 x - 12 = 0

x \approx 3.52233 \dots

Solution steps

x^{3} - 9 x - 12 = 0

Find one solution for

x^{3} - 9 x - 12 = 0

using Newton-Raphson:

x \approx 3.52233 \dots

Apply long division:

\frac{x ^{3} - 9 x - 12}{x - 3.52233 \dots} = x^{2} + 3.52233 \dots x + 3.40683 \dots

x^{2} + 3.52233 \dots x + 3.40683 \dots \approx 0

Find one solution for

x^{2} + 3.52233 \dots x + 3.40683 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 3.52233 \dots

x^{4} + 2 x^{3} - 5 x^{2} - 8 x + 4 = 0

x^{4} + 40 = 14 x^{2}

z^{3} = (1 - 3 i)

- x^{3} + 4 x^{2} - 5 x + 2

x^{4} - 4 x^{3} + 8 x^{2} - 16 x + 16

What are the solutions to the equation x^3-9x-12=0 ?
The solutions to the equation x^3-9x-12=0 are x\approx 3.52233…
Find the zeros of x^3-9x-12=0
The zeros of x^3-9x-12=0 are x\approx 3.52233…