If one root of the quadratic equation \( a x^{2}+b x+c=0 \) is equal to the \( n \)th power of t...

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Counter-Strike: Source
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Counter-Strike: Source (2004)
Duration: 4:54
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2

If one root of the quadratic equation \( a x^{2}+b x+c=0 \) is equal to the \( n \)th power of the other, then show that \( \left(a c^{n}\right)^{\frac{1}{n+1}}+\left(a^{n} c\right)^{\frac{1}{n+1}}+b=0 \)
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