Question

Let one noot be ( alpha )
( Rightarrow 2 ) nol ( n=alpha^{n} ) Its a question on
sheet
( therefore quad alpha cdot alpha^{n}=frac{c}{a} )
( Rightarrow quad alpha^{n+1}=frac{c}{a} )
( Rightarrowleft(a^{n} cright)^{frac{1}{n+1}+left(a c^{n}right)^{1 / n+1}+b=0} )

# A-9. Bee If one root of the equation ax2 + bx + C =0 is equal to nth power of the other root, then show that (ac")/(n+1) + (a"c)/(n+1) + b = 0.

Solution