I want to solve the equation with R: $$\frac{c_1^{n_1+1}}{[(n_2-1)+(n_1-1)c_1]^{n_1+n_2-2}}=\frac{c_2^{n_1+1}}{[(n_2-1)+(n_1-1)c_1]^{n_1+n_2-2}};$$ $$[F(c_2;n_1-1,n_2-1)]-[F(c_2;n_1-1,n_2-1)]=1-\alpha.$$
I want to solve out the numerical of $(c_1,c_2)$.
My attempt:
$\alpha=0.05$
$n_1=18$
$n_2=13$
$((c1^{n_1+1}))/(((n_2-1)+(n_1-1)\times c_1)^{n_1+n_2-2})=(c_2^{n_1+1})/((n_2-1)+(n_1-1)\times c_2)^{n_1+n_2-2}$
$qf(c_2,n_1-1,n_2-1)-qf(c_1,n_1-1,n_2-1)=1-\alpha$
$c(c_1,c_2)$
But it seem that something was wrong. Can anybody help me solve out this equation? Thanks in advanced.