What are the solutions to the equation x^3+9x^2+18x=2168 ?

The solutions to the equation x^3+9x^2+18x=2168 are x\approx 10.17431…

Find the zeros of x^3+9x^2+18x=2168

The zeros of x^3+9x^2+18x=2168 are x\approx 10.17431…

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x^{3} + 9 x^{2} + 18 x = 2168

x \approx 10.17431 \dots

Solution steps

x^{3} + 9 x^{2} + 18 x = 2168

Move

2168

to the left side

x^{3} + 9 x^{2} + 18 x - 2168 = 0

Find one solution for

x^{3} + 9 x^{2} + 18 x - 2168 = 0

using Newton-Raphson:

x \approx 10.17431 \dots

Apply long division:

\frac{x ^{3} + 9 x ^{2} + 18 x - 2168}{x - 10.17431 \dots} = x^{2} + 19.17431 \dots x + 213.08556 \dots

x^{2} + 19.17431 \dots x + 213.08556 \dots \approx 0

Find one solution for

x^{2} + 19.17431 \dots x + 213.08556 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 10.17431 \dots

m^{3} - m^{2} + 2 = 0

(\frac{x + 2}{3})^{4} = 128

x^{4} - 4 x + 4 = 0

a^{3} - 6 a^{2} + 15 a + 10 = 0

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

What are the solutions to the equation x^3+9x^2+18x=2168 ?
The solutions to the equation x^3+9x^2+18x=2168 are x\approx 10.17431…
Find the zeros of x^3+9x^2+18x=2168
The zeros of x^3+9x^2+18x=2168 are x\approx 10.17431…