What are the solutions to the equation z^3+5z^2+4z=100 ?

The solutions to the equation z^3+5z^2+4z=100 are z\approx 3.24793…

Find the zeros of z^3+5z^2+4z=100

The zeros of z^3+5z^2+4z=100 are z\approx 3.24793…

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z^{3} + 5 z^{2} + 4 z = 100

z \approx 3.24793 \dots

Solution steps

z^{3} + 5 z^{2} + 4 z = 100

Move

100

to the left side

z^{3} + 5 z^{2} + 4 z - 100 = 0

Find one solution for

z^{3} + 5 z^{2} + 4 z - 100 = 0

using Newton-Raphson:

z \approx 3.24793 \dots

Apply long division:

\frac{z ^{3} + 5 z ^{2} + 4 z - 100}{z - 3.24793 \dots} = z^{2} + 8.24793 \dots z + 30.78877 \dots

z^{2} + 8.24793 \dots z + 30.78877 \dots \approx 0

Find one solution for

z^{2} + 8.24793 \dots z + 30.78877 \dots = 0

using Newton-Raphson:

No Solution for

z \in R

The solution is

z \approx 3.24793 \dots

a^{28} = 1^{0} + (28 - 1) (1)

x (x + 3)^{3} - 28 (x + 3)^{2} = 0

y^{3} = 16

4 c^{3} + 32 c^{2} - 36 c = 0

x^{6} + 8 = 26

What are the solutions to the equation z^3+5z^2+4z=100 ?
The solutions to the equation z^3+5z^2+4z=100 are z\approx 3.24793…
Find the zeros of z^3+5z^2+4z=100
The zeros of z^3+5z^2+4z=100 are z\approx 3.24793…