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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` .

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A DAS GUPTA-Equations, Inequation and Expressions-Exercise
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  3. If one root of the quadratic equation ax^(2)+bx+c=0 is equal to the ...

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  12. If a, b are the roots of x^2 + px + 1 = 0 and c, d are the roots of ...

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  13. If c ,d are the roots of the equation (x-a)(x-b)-k=0 , prove that a, b...

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  16. In copying a quadratic equation of the form x^2 +px +q=0,a student wro...

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  20. For what values of a, does the equation ax^2 -(a + 1)x + 3 = 0, have r...

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