What are the solutions to the equation x^3+5x^2-20=0 ?

The solutions to the equation x^3+5x^2-20=0 are x\approx 1.72457…

Find the zeros of x^3+5x^2-20=0

The zeros of x^3+5x^2-20=0 are x\approx 1.72457…

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x^{3} + 5 x^{2} - 20 = 0

x \approx 1.72457 \dots

Solution steps

x^{3} + 5 x^{2} - 20 = 0

Find one solution for

x^{3} + 5 x^{2} - 20 = 0

using Newton-Raphson:

x \approx 1.72457 \dots

Apply long division:

\frac{x ^{3} + 5 x ^{2} - 20}{x - 1.72457 \dots} = x^{2} + 6.72457 \dots x + 11.59704 \dots

x^{2} + 6.72457 \dots x + 11.59704 \dots \approx 0

Find one solution for

x^{2} + 6.72457 \dots x + 11.59704 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 1.72457 \dots

18 x^{3} + 9 x^{2} - 2 x - 1 = 0

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

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

x (x + 4) (x - 1) = 0

x^{3} - 49 x + 120 = 0

What are the solutions to the equation x^3+5x^2-20=0 ?
The solutions to the equation x^3+5x^2-20=0 are x\approx 1.72457…
Find the zeros of x^3+5x^2-20=0
The zeros of x^3+5x^2-20=0 are x\approx 1.72457…