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solving inequalities

Why won't Maple solve any of these inequalities for Q?

At first I tried solving the system of equations, but then I tried solving the inequalities individually for Q, and those too could not be solved by Maple.  What am I doing wrong?
 

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restart

 

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assume(R1, real, R2, real, RL, real, XC1, real, XC2, real, XL1, real)

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additionally(R1 > 0, R2 > 0, RL > 0, XC1 > 0, XC2 > 0, XL1 > 0)

 

 

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eq3 := R1*(4*Q^2+1)-RL > 0

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0 < R1*(4*Q^2+1)-RL

(1)

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eq4 := 4*Q^2*R1*RL-(R1-RL)^2 >= 0

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0 <= 4*Q^2*R1*RL-(R1-RL)^2

(2)

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eq5 := Rs^2*(RL-R1)/Q^2+R1^2*RL > 0

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0 < Rs^2*(RL-R1)/Q^2+RL*R1^2

(3)

 

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``

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sys1 := {eq3, eq4, eq5}

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`assuming`([solve(sys1, {Q})], [R1 > RL])

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`assuming`([solve(sys1, {Q})], [R1 < RL])

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solve(sys1, {Q})

Warning, solutions may have been lost

 

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solve(eq3, Q)

Warning, solutions may have been lost

 

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solve(eq4, Q)

Warning, solutions may have been lost

 

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solve(eq5, Q)

Warning, solutions may have been lost

 

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``


 

Download pi-filter_anal_copy.mw


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