What are the solutions to the equation x^3-3x-2.2=0 ?

The solutions to the equation x^3-3x-2.2=0 are x\approx 2.02190…

Find the zeros of x^3-3x-2.2=0

The zeros of x^3-3x-2.2=0 are x\approx 2.02190…

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x^{3} - 3 x - 2.2 = 0

x \approx 2.02190 \dots

Solution steps

x^{3} - 3 x - 2.2 = 0

Multiply both sides by

10

10 x^{3} - 30 x - 22 = 0

Find one solution for

10 x^{3} - 30 x - 22 = 0

using Newton-Raphson:

x \approx 2.02190 \dots

Apply long division:

\frac{10 x ^{3} - 30 x - 22}{x - 2.02190 \dots} = 10 x^{2} + 20.21901 \dots x + 10.88084 \dots

10 x^{2} + 20.21901 \dots x + 10.88084 \dots \approx 0

Find one solution for

10 x^{2} + 20.21901 \dots x + 10.88084 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 2.02190 \dots

x^{3} - 4 x^{2} - 10 x + 40 = 0

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

r^{3} - 4 r = 0

3 x^{3} + 6 x^{2} + 3 x = 0

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

What are the solutions to the equation x^3-3x-2.2=0 ?
The solutions to the equation x^3-3x-2.2=0 are x\approx 2.02190…
Find the zeros of x^3-3x-2.2=0
The zeros of x^3-3x-2.2=0 are x\approx 2.02190…