What are the solutions to the equation x^3+x^2-3=0 ?

The solutions to the equation x^3+x^2-3=0 are x\approx 1.17455…

Find the zeros of x^3+x^2-3=0

The zeros of x^3+x^2-3=0 are x\approx 1.17455…

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

x \approx 1.17455 \dots

Solution steps

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

Find one solution for

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

using Newton-Raphson:

x \approx 1.17455 \dots

Apply long division:

\frac{x ^{3} + x ^{2} - 3}{x - 1.17455 \dots} = x^{2} + 2.17455 \dots x + 2.55414 \dots

x^{2} + 2.17455 \dots x + 2.55414 \dots \approx 0

Find one solution for

x^{2} + 2.17455 \dots x + 2.55414 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.17455 \dots

z^{3} = 2 i

x^{3} - 60 = x

4 x^{3} - 10 x = 0

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

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

What are the solutions to the equation x^3+x^2-3=0 ?
The solutions to the equation x^3+x^2-3=0 are x\approx 1.17455…
Find the zeros of x^3+x^2-3=0
The zeros of x^3+x^2-3=0 are x\approx 1.17455…