What are the solutions to the equation x^3-x^2-2=3 ?

The solutions to the equation x^3-x^2-2=3 are x\approx 2.11634…

Find the zeros of x^3-x^2-2=3

The zeros of x^3-x^2-2=3 are x\approx 2.11634…

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

x \approx 2.11634 \dots

Solution steps

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

Move

3

to the left side

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

Find one solution for

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

using Newton-Raphson:

x \approx 2.11634 \dots

Apply long division:

\frac{x ^{3} - x ^{2} - 5}{x - 2.11634 \dots} = x^{2} + 1.11634 \dots x + 2.36256 \dots

x^{2} + 1.11634 \dots x + 2.36256 \dots \approx 0

Find one solution for

x^{2} + 1.11634 \dots x + 2.36256 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 2.11634 \dots

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

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

What are the solutions to the equation x^3-x^2-2=3 ?
The solutions to the equation x^3-x^2-2=3 are x\approx 2.11634…
Find the zeros of x^3-x^2-2=3
The zeros of x^3-x^2-2=3 are x\approx 2.11634…