What are the solutions to the equation λ^3-14λ^2+9λ-110=0 ?

The solutions to the equation λ^3-14λ^2+9λ-110=0 are λ\approx 13.92110…

Find the zeros of λ^3-14λ^2+9λ-110=0

The zeros of λ^3-14λ^2+9λ-110=0 are λ\approx 13.92110…

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λ^{3} - 14 λ^{2} + 9 λ - 110 = 0

λ \approx 13.92110 \dots

Solution steps

λ^{3} - 14 λ^{2} + 9 λ - 110 = 0

Find one solution for

λ^{3} - 14 λ^{2} + 9 λ - 110 = 0

using Newton-Raphson:

λ \approx 13.92110 \dots

Apply long division:

\frac{λ ^{3} - 14 λ ^{2} + 9 λ - 110}{λ - 13.92110 \dots} = λ^{2} - 0.07889 \dots λ + 7.90167 \dots

λ^{2} - 0.07889 \dots λ + 7.90167 \dots \approx 0

Find one solution for

λ^{2} - 0.07889 \dots λ + 7.90167 \dots = 0

using Newton-Raphson:

No Solution for

λ \in R

The solution is

λ \approx 13.92110 \dots

z^{3} + 4 z^{2} - 16 z - 64 = 0

x^{2} (x + 2) (x + 6) = 0

625 = 5 x^{3}

2 x^{3} - 19 x^{2} + 64 x - 60 = 0

y^{3} + 5 y^{2} - 9 y - 45 = 0

What are the solutions to the equation λ^3-14λ^2+9λ-110=0 ?
The solutions to the equation λ^3-14λ^2+9λ-110=0 are λ\approx 13.92110…
Find the zeros of λ^3-14λ^2+9λ-110=0
The zeros of λ^3-14λ^2+9λ-110=0 are λ\approx 13.92110…