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

The solutions to the equation 2x^3-11x^2-7x-2=0 are x\approx 6.10058…

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

The zeros of 2x^3-11x^2-7x-2=0 are x\approx 6.10058…

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2 x^{3} - 11 x^{2} - 7 x - 2 = 0

x \approx 6.10058 \dots

Solution steps

2 x^{3} - 11 x^{2} - 7 x - 2 = 0

Find one solution for

2 x^{3} - 11 x^{2} - 7 x - 2 = 0

using Newton-Raphson:

x \approx 6.10058 \dots

Apply long division:

\frac{2 x ^{3} - 11 x ^{2} - 7 x - 2}{x - 6.10058 \dots} = 2 x^{2} + 1.20116 \dots x + 0.32783 \dots

2 x^{2} + 1.20116 \dots x + 0.32783 \dots \approx 0

Find one solution for

2 x^{2} + 1.20116 \dots x + 0.32783 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx 6.10058 \dots

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

2 x^{6} = - 19 x^{3} - 45

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

(x - 3)^{2} (3 x^{2} - 1) + 16 x^{2} = 0

16 x^{4} = 15 (x + 1)^{4}

What are the solutions to the equation 2x^3-11x^2-7x-2=0 ?
The solutions to the equation 2x^3-11x^2-7x-2=0 are x\approx 6.10058…
Find the zeros of 2x^3-11x^2-7x-2=0
The zeros of 2x^3-11x^2-7x-2=0 are x\approx 6.10058…