Say I have 2 quadratics
p(x^2)+qx=r=0 and d(x^2)+ex+f=0 with one common root
can i write (p/d)=(q/e)=(r/f) ?
like comparing coefficients.
can we compare exponents as in this given equation
[(a^n) + (b^n)]/[(a^n-1) + (b^n-1)] = (a+b)/2 (n-1 is exponent)
to get n=1
if yes then what is the condition that allows us to compare?