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skad [1K]
3 years ago
5

What is the characteristic polynomial? \[ \frac{d^2x}{dt^2}+5\frac{dx}{dt}+6=cos(w) \]

Mathematics
1 answer:
MakcuM [25]3 years ago
8 0
What is the characteristic polynomial?
d^2x dx
——- + 5 —— + 6 = cos(w)
dt ^2 dt


Hope this help u :)
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3 years ago
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=

−

±

2

−

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√

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x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

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Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.

2

2

+

6

+

4

=

0

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2

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±

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2

−

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⋅

2

⋅

4

√

2

⋅

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x=\frac{-{\color{#e8710a}{6}} \pm \sqrt{{\color{#e8710a}{6}}^{2}-4 \cdot {\color{#c92786}{2}} \cdot {\color{#129eaf}{4}}}}{2 \cdot {\color{#c92786}{2}}}

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