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Question: solving quadratic equation with two variables in maple

Question:solving quadratic equation with two variables in maple

mutaz 15 Maple
quadratic
May 07 2013
2

Hi,

 

when i tried to solve the following equation, i received ""Warning, solutions may have been lost"":

equation1 := (((1+cos(q[1]))*(rho+eta*sin(q[1])^2)-sigma^2*cos(q[1])^2*(1+cos(q[1]))/gamma)*beta[1]/Delta[d]^2-sin(2*q[1])*(eta*Delta-(rho+eta*sin(q[1])^2)*(gamma*eta+sigma^2))/Delta^2)*p[1]^2+(2*((1+cos(q[1]))*(rho+eta*sin(q[1])^2)-sigma^2*cos(q[1])^2*(1+cos(q[1]))/gamma)*beta[2]/Delta[d]-(2*sigma*sin(q[1])*Delta+2*sigma*cos(q[1])*(gamma*eta+sigma^2)*sin(2*q[1]))/Delta^2)*p[1]*p[2]+(((1+cos(q[1]))*(rho+eta*sin(q[1])^2)-sigma^2*cos(q[1])^2*(1+cos(q[1]))/gamma)*beta[3]/Delta[d]-gamma*(gamma*eta+sigma^2)*sin(2*q[1])*p[2]^2/Delta^2)*p[2]^2 = 0

please note that my variables are p_1 and p_2 and all others are constants including cos/sin(q_1).

 

best regards,

Mutazequation1 := (((1+cos(q[1]))*(rho+eta*sin(q[1])^2)-sigma^2*cos(q[1])^2*(1+cos(q[1]))/gamma)*beta[1]/Delta[d]^2-sin(2*q[1])*(eta*Delta-(rho+eta*sin(q[1])^2)*(gamma*eta+sigma^2))/Delta^2)*p[1]^2+(2*((1+cos(q[1]))*(rho+eta*sin(q[1])^2)-sigma^2*cos(q[1])^2*(1+cos(q[1]))/gamma)*beta[2]/Delta[d]-(2*sigma*sin(q[1])*Delta+2*sigma*cos(q[1])*(gamma*eta+sigma^2)*sin(2*q[1]))/Delta^2)*p[1]*p[2]+(((1+cos(q[1]))*(rho+eta*sin(q[1])^2)-sigma^2*cos(q[1])^2*(1+cos(q[1]))/gamma)*beta[3]/Delta[d]-gamma*(gamma*eta+sigma^2)*sin(2*q[1])*p[2]^2/Delta^2)*p[2]^2 = 0

 
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