1.

If one root of the quadratic equation \[a{{x}^{2}}+bx+c=0\] is equal to the nth power of the other root, then the value of \[{{(a{{c}^{n}})}^{\frac{1}{n+1}}}+{{({{a}^{n}}c)}^{\frac{1}{n+1}}}=\] [IIT 1983]

A. \[b\]
B.
C. \[{{b}^{\frac{1}{n+1}}}\]
D. \[-{{b}^{\frac{1}{n+1}}}\]
Answer» C. \[{{b}^{\frac{1}{n+1}}}\]


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