WesleyJA81
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Homework Statement
Hey guys, I know there are people on here that can help me figure this out...
I have a complex quadratic. The coefficients of the quadratic are a=(1-x) b=x*(u+P/(u*r)) and c=-(u^2 + x*P/r). Using -b/2a +/- sqrt(b^2-4*a*c)/2a
I'm trying to analytically reduce this quad eqn as far as I can
I know this should reduce to 1/(x-1)*u + x*P/(r*u)
The Attempt at a Solution
As far as I could take it was trying to reduce the term in the sqrt => b^2-4*a*c
u^2*(x-2)^2 + (P/(u*r))^2*(x)^2 + P/r*(-4x^2 + 4x)
I feel like I should be able to factor this into something like
(u+p/(u*r))^2 * (something)^2 so I can take the sqrt but I can't figure this out. Thanks in advance for the help.
~ Wesley
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