What are the solutions to the equation x^3+7x^2+11x+6=0 ?

The solutions to the equation x^3+7x^2+11x+6=0 are x\approx-5.06064…

Find the zeros of x^3+7x^2+11x+6=0

The zeros of x^3+7x^2+11x+6=0 are x\approx-5.06064…

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x^{3} + 7 x^{2} + 11 x + 6 = 0

x \approx - 5.06064 \dots

Solution steps

x^{3} + 7 x^{2} + 11 x + 6 = 0

Find one solution for

x^{3} + 7 x^{2} + 11 x + 6 = 0

using Newton-Raphson:

x \approx - 5.06064 \dots

Apply long division:

\frac{x ^{3} + 7 x ^{2} + 11 x + 6}{x + 5.06064 \dots} = x^{2} + 1.93935 \dots x + 1.18561 \dots

x^{2} + 1.93935 \dots x + 1.18561 \dots \approx 0

Find one solution for

x^{2} + 1.93935 \dots x + 1.18561 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 5.06064 \dots

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

x^{4} + 12 x^{3} + 44 x^{2} + 48 x = 3465

x^{2} 16 x + 64 = 0

127 + 5 x + 3 + 10 x^{7} + 88 = 360

x^{3} - 3 x^{2} - 28 x + 60 = 0

What are the solutions to the equation x^3+7x^2+11x+6=0 ?
The solutions to the equation x^3+7x^2+11x+6=0 are x\approx-5.06064…
Find the zeros of x^3+7x^2+11x+6=0
The zeros of x^3+7x^2+11x+6=0 are x\approx-5.06064…