Find the range of $a$ from given equation












0












$begingroup$


I want to find the range of $alpha$ with $A, B, C$, $p_1$ and $p_2$.



$Ax + B y +Cxy leq 0$.



$(1-alpha)p_1 leq x leq (1+alpha)p_1$.



$(1-alpha)p_2 leq y leq (1+alpha)p_2$.



How can I solve these equations to find a range of $alpha$?










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$endgroup$












  • $begingroup$
    What are $;A,B,C, p_1,p_2;$ ? Is there any relation between them?
    $endgroup$
    – DonAntonio
    Jan 10 at 10:22












  • $begingroup$
    No, there is no relation between them. they are independent. I want to find range of $alpha$ w.r.t. variables $A,B,C,p_1,p_2$.
    $endgroup$
    – kyub
    Jan 10 at 10:26












  • $begingroup$
    Do you mean $Ax+By+Cxyle 0$?
    $endgroup$
    – Mythomorphic
    Jan 10 at 11:27
















0












$begingroup$


I want to find the range of $alpha$ with $A, B, C$, $p_1$ and $p_2$.



$Ax + B y +Cxy leq 0$.



$(1-alpha)p_1 leq x leq (1+alpha)p_1$.



$(1-alpha)p_2 leq y leq (1+alpha)p_2$.



How can I solve these equations to find a range of $alpha$?










share|cite|improve this question











$endgroup$












  • $begingroup$
    What are $;A,B,C, p_1,p_2;$ ? Is there any relation between them?
    $endgroup$
    – DonAntonio
    Jan 10 at 10:22












  • $begingroup$
    No, there is no relation between them. they are independent. I want to find range of $alpha$ w.r.t. variables $A,B,C,p_1,p_2$.
    $endgroup$
    – kyub
    Jan 10 at 10:26












  • $begingroup$
    Do you mean $Ax+By+Cxyle 0$?
    $endgroup$
    – Mythomorphic
    Jan 10 at 11:27














0












0








0





$begingroup$


I want to find the range of $alpha$ with $A, B, C$, $p_1$ and $p_2$.



$Ax + B y +Cxy leq 0$.



$(1-alpha)p_1 leq x leq (1+alpha)p_1$.



$(1-alpha)p_2 leq y leq (1+alpha)p_2$.



How can I solve these equations to find a range of $alpha$?










share|cite|improve this question











$endgroup$




I want to find the range of $alpha$ with $A, B, C$, $p_1$ and $p_2$.



$Ax + B y +Cxy leq 0$.



$(1-alpha)p_1 leq x leq (1+alpha)p_1$.



$(1-alpha)p_2 leq y leq (1+alpha)p_2$.



How can I solve these equations to find a range of $alpha$?







functions






share|cite|improve this question















share|cite|improve this question













share|cite|improve this question




share|cite|improve this question








edited Jan 10 at 12:31







kyub

















asked Jan 10 at 10:18









kyubkyub

375




375












  • $begingroup$
    What are $;A,B,C, p_1,p_2;$ ? Is there any relation between them?
    $endgroup$
    – DonAntonio
    Jan 10 at 10:22












  • $begingroup$
    No, there is no relation between them. they are independent. I want to find range of $alpha$ w.r.t. variables $A,B,C,p_1,p_2$.
    $endgroup$
    – kyub
    Jan 10 at 10:26












  • $begingroup$
    Do you mean $Ax+By+Cxyle 0$?
    $endgroup$
    – Mythomorphic
    Jan 10 at 11:27


















  • $begingroup$
    What are $;A,B,C, p_1,p_2;$ ? Is there any relation between them?
    $endgroup$
    – DonAntonio
    Jan 10 at 10:22












  • $begingroup$
    No, there is no relation between them. they are independent. I want to find range of $alpha$ w.r.t. variables $A,B,C,p_1,p_2$.
    $endgroup$
    – kyub
    Jan 10 at 10:26












  • $begingroup$
    Do you mean $Ax+By+Cxyle 0$?
    $endgroup$
    – Mythomorphic
    Jan 10 at 11:27
















$begingroup$
What are $;A,B,C, p_1,p_2;$ ? Is there any relation between them?
$endgroup$
– DonAntonio
Jan 10 at 10:22






$begingroup$
What are $;A,B,C, p_1,p_2;$ ? Is there any relation between them?
$endgroup$
– DonAntonio
Jan 10 at 10:22














$begingroup$
No, there is no relation between them. they are independent. I want to find range of $alpha$ w.r.t. variables $A,B,C,p_1,p_2$.
$endgroup$
– kyub
Jan 10 at 10:26






$begingroup$
No, there is no relation between them. they are independent. I want to find range of $alpha$ w.r.t. variables $A,B,C,p_1,p_2$.
$endgroup$
– kyub
Jan 10 at 10:26














$begingroup$
Do you mean $Ax+By+Cxyle 0$?
$endgroup$
– Mythomorphic
Jan 10 at 11:27




$begingroup$
Do you mean $Ax+By+Cxyle 0$?
$endgroup$
– Mythomorphic
Jan 10 at 11:27










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