What are the solutions to the equation x^3+6x^2+11x-6=0 ?

The solutions to the equation x^3+6x^2+11x-6=0 are x\approx 0.43484…

Find the zeros of x^3+6x^2+11x-6=0

The zeros of x^3+6x^2+11x-6=0 are x\approx 0.43484…

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x^{3} + 6 x^{2} + 11 x - 6 = 0

x \approx 0.43484 \dots

Solution steps

x^{3} + 6 x^{2} + 11 x - 6 = 0

Find one solution for

x^{3} + 6 x^{2} + 11 x - 6 = 0

using Newton-Raphson:

x \approx 0.43484 \dots

Apply long division:

\frac{x ^{3} + 6 x ^{2} + 11 x - 6}{x - 0.43484 \dots} = x^{2} + 6.43484 \dots x + 13.79813 \dots

x^{2} + 6.43484 \dots x + 13.79813 \dots \approx 0

Find one solution for

x^{2} + 6.43484 \dots x + 13.79813 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 0.43484 \dots

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

t^{4} - 16 = 0

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

5 + 2 x^{3} = 21

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

What are the solutions to the equation x^3+6x^2+11x-6=0 ?
The solutions to the equation x^3+6x^2+11x-6=0 are x\approx 0.43484…
Find the zeros of x^3+6x^2+11x-6=0
The zeros of x^3+6x^2+11x-6=0 are x\approx 0.43484…