According to this example using the Laplace Transform,

Jerimiah Boone

Jerimiah Boone

Answered question

2022-03-17

According to this example using the Laplace Transform, I am just curious to HOW we go from
Y(s)=32s(s2+12s+32)
to
Y(s)=32s(s+4)(s+8)
More specific, I am curious to why we get an 4 and an 8. What formula or equation are being used to get those numbers?I know that the Laplace Transform calculates it for us, however, I want to calculate it "by hand" and show why we get the answer. Any feedback would be gladly appreciated!

Answer & Explanation

zonadeenfoqueun6

zonadeenfoqueun6

Beginner2022-03-18Added 3 answers

Note that (s+4)(s+8)=s2+12s+32

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