Question

let one wot be ( alpha )
( Rightarrow 2 ) nol ( n=alpha^{n} quad ) It ( ^{prime} ) a anes
( therefore quad alpha cdot alpha^{n}=frac{c}{a} )
reet
( =>left(a^{n} cright)^{frac{1}{n+1}+left(a c^{n}right)^{1 / n+1}+b=0} )
Ondaname eqet

# A-8. 1 Tuwing equation 2 + 24 - 32 - Let a, b, c be real numbers with a la the roots of a3x2 + abcx + c = 0 in terms of a, B De real numbers with a *0 and let a, B be the roots of the equation axbx + Express ifa. Bare roots of x-px + 9 = 0 and a - 2. B + 2 are o 169 + (r + 4 - 9) = 4p oots of x-px +9 0 and a-2.B + 2 are roots of x-px + 0. then prove that If one root of the equation ax2 + bx +C =0 is equal to n power of the o (ach)(n-1) + (a"c)n + 1) + b 0. X + bx +C =0 is equal to nth power of the other root, then show that A-9.

Solution