What are the solutions to the equation x^3-3x^2-44x+2222=5.88 ?

The solutions to the equation x^3-3x^2-44x+2222=5.88 are x\approx-13.15365…

Find the zeros of x^3-3x^2-44x+2222=5.88

The zeros of x^3-3x^2-44x+2222=5.88 are x\approx-13.15365…

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x^{3} - 3 x^{2} - 44 x + 2222 = 5.88

x \approx - 13.15365 \dots

Solution steps

x^{3} - 3 x^{2} - 44 x + 2222 = 5.88

Multiply both sides by

100

100 x^{3} - 300 x^{2} - 4400 x + 222200 = 588

Move

588

to the left side

100 x^{3} - 300 x^{2} - 4400 x + 221612 = 0

Find one solution for

100 x^{3} - 300 x^{2} - 4400 x + 221612 = 0

using Newton-Raphson:

x \approx - 13.15365 \dots

Apply long division:

\frac{100 x ^{3} - 300 x ^{2} - 4400 x + 221612}{x + 13.15365 \dots} = 100 x^{2} - 1615.36503 \dots x + 16847.94674 \dots

100 x^{2} - 1615.36503 \dots x + 16847.94674 \dots \approx 0

Find one solution for

100 x^{2} - 1615.36503 \dots x + 16847.94674 \dots = 0

using Newton-Raphson:

No Solution for

x \in R

The solution is

x \approx - 13.15365 \dots

0.0012 = x^{3}

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

x^{4} + 9 x^{3} + 18 x^{2} = 0

3 x^{3} = 8 x^{2} - 4 x

x^{3} + 8 = - 56

What are the solutions to the equation x^3-3x^2-44x+2222=5.88 ?
The solutions to the equation x^3-3x^2-44x+2222=5.88 are x\approx-13.15365…
Find the zeros of x^3-3x^2-44x+2222=5.88
The zeros of x^3-3x^2-44x+2222=5.88 are x\approx-13.15365…