What are the solutions to the equation w^3-2w^2+2-2=0.2 ?

The solutions to the equation w^3-2w^2+2-2=0.2 are w\approx 2.04769…

Find the zeros of w^3-2w^2+2-2=0.2

The zeros of w^3-2w^2+2-2=0.2 are w\approx 2.04769…

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w^{3} - 2 w^{2} + 2 - 2 = 0.2

w \approx 2.04769 \dots

Solution steps

w^{3} - 2 w^{2} + 2 - 2 = 0.2

Multiply both sides by

10

10 w^{3} - 20 w^{2} = 2

Move

2

to the left side

10 w^{3} - 20 w^{2} - 2 = 0

Find one solution for

10 w^{3} - 20 w^{2} - 2 = 0

using Newton-Raphson:

w \approx 2.04769 \dots

Apply long division:

\frac{10 w ^{3} - 20 w ^{2} - 2}{w - 2.04769 \dots} = 10 w^{2} + 0.47697 \dots w + 0.97670 \dots

10 w^{2} + 0.47697 \dots w + 0.97670 \dots \approx 0

Find one solution for

10 w^{2} + 0.47697 \dots w + 0.97670 \dots = 0

using Newton-Raphson:

No Solution for

w \in R

The solution is

w \approx 2.04769 \dots

x^{4} - 10 x^{2} + b = 0

x^{3} - 7 = 20

x^{3} + 12 = 3 x^{2} + 4 x

21494 = 35000 (1 + r)^{3}

x^{4} - 6 x^{2} - 55 = 0

What are the solutions to the equation w^3-2w^2+2-2=0.2 ?
The solutions to the equation w^3-2w^2+2-2=0.2 are w\approx 2.04769…
Find the zeros of w^3-2w^2+2-2=0.2
The zeros of w^3-2w^2+2-2=0.2 are w\approx 2.04769…