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

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

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 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 the n^(th) power of the other, then (ac^n)^(1/(n+1)) + (a^nc)^(1/(n+1)) + b is equal to

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^nc)^(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 order, then prove that (ac^(n))^((1)/(n+1)) + (a^(n)c)^((1)/(n+1))=-b