If one root of the equation `ax^2 + bx + c = 0` is equal to the`n^(th)` power of the other, then `(ac^n)^(1/(n+1)) + (a^n c)^(1/(n+1)) + b` is equal to

If one root of the equation ax^(2)+bx+c=0 is equal to then ^(th) power of the other,then (ac^(n))^((1)/(n+1))+(a^(n)c)^((n+1)/(n+1))+b is equal to

If one root of the quadratic equation ax^(2)+bx+c=0 is equal to the nth power of the other , then show that (ac^n)^((1)/(n+1))+(a^(n)c)^((1)/(n+1))+b=0 .

If the roots of the equation ax^(2)+bx+c=0 are in the ratio m:n then

If one root of equation ax^(2)+bx+c=0 is three xx of the other,then (ac)/(b^(2)) is equal to

If m and n are the roots of the equation ax ^(2) + bx + c = 0, then the equation whose roots are ( m ^(2) + 1 ) // m and ( n ^(2)+1) //n is

If a+b=1, then sum_(n=0)^(n)C(n,r)a^(r)b^(n-r) is equal to '

If one root is nth power of the other root of this equation x^(2)-ax+b=0 then, b^(n/(n+1))+b^(1/(n+1)) = (A) a (B) a^(n) (C) b^(n) (D) ab