What are the solutions to the equation z^3-0.87z^2+1.74z-0.24=0 ?

The solutions to the equation z^3-0.87z^2+1.74z-0.24=0 are z\approx 0.14689…

Find the zeros of z^3-0.87z^2+1.74z-0.24=0

The zeros of z^3-0.87z^2+1.74z-0.24=0 are z\approx 0.14689…

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z^{3} - 0.87 z^{2} + 1.74 z - 0.24 = 0

z \approx 0.14689 \dots

Solution steps

z^{3} - 0.87 z^{2} + 1.74 z - 0.24 = 0

Multiply both sides by

100

100 z^{3} - 87 z^{2} + 174 z - 24 = 0

Find one solution for

100 z^{3} - 87 z^{2} + 174 z - 24 = 0

using Newton-Raphson:

z \approx 0.14689 \dots

Apply long division:

\frac{100 z ^{3} - 87 z ^{2} + 174 z - 24}{z - 0.14689 \dots} = 100 z^{2} - 72.31011 \dots z + 163.37772 \dots

100 z^{2} - 72.31011 \dots z + 163.37772 \dots \approx 0

Find one solution for

100 z^{2} - 72.31011 \dots z + 163.37772 \dots = 0

using Newton-Raphson:

No Solution for

z \in R

The solution is

z \approx 0.14689 \dots

2 c^{4} - 6 c^{3} = 12 c^{2} - 36 c

x^{4} - 6 x^{3} + 17 x^{2} - 24 x + 52 = 0

x^{2} (x^{2} - 16) - (x^{2} - 16) = 0

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

4 x^{2} (x + 8) = 0

What are the solutions to the equation z^3-0.87z^2+1.74z-0.24=0 ?
The solutions to the equation z^3-0.87z^2+1.74z-0.24=0 are z\approx 0.14689…
Find the zeros of z^3-0.87z^2+1.74z-0.24=0
The zeros of z^3-0.87z^2+1.74z-0.24=0 are z\approx 0.14689…