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Partial fraction

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You start by factoring the denominator using the quadratic formula.
 
I try before.
But the calculator shows up "ma error" cause the value for "b" is too small to subtract the "4ac" and I got the negative answer.
√negative answer is getting an error.
 
Is "ma error" the mother of all errors?

So the denominator polynomial has no real solutions. That means the solutions are a complex conjugate pair. You do know what that is -- right?
 
Hi,

The roots are a complex pair.
This means either sin or cos solution (possibly damped).
 
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The actual equation is
Y(s)/U(s) = 10/(S^2 + 0.18S + 9).
I was trying to change it to the diagonal form.
And I stuck on factories the denominator.
So,Is there anyone can help me with that?
 
Complete the square. Once you split it into factors its easy to expand. You can practally factor it by inspection.
 
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The quadratic formula has always worked for me
Code:
(-9/100) + (3/100)*√(9991)*i is the root with the positive imaginary part
(-9/100) - (3/100)*√(9991)*i is the root with the negative imaginary part
This transfer function is close enough to the jω axis to make me nervous.
 
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