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Let alpha and beta be the roots of x^2 -...

Let `alpha and beta` be the roots of `x^2 - 5x - 1 = 0` then find the value of `(alpha^15 + alpha^11 + beta^15 + beta^11)/(alpha^13 + beta^13)` .

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To solve the problem, we need to find the value of \[ \frac{\alpha^{15} + \alpha^{11} + \beta^{15} + \beta^{11}}{\alpha^{13} + \beta^{13}} \] given that \(\alpha\) and \(\beta\) are the roots of the equation ...
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CENGAGE ENGLISH-THEORY OF EQUATIONS-ILLUSTRATION
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  3. Let alpha and beta be the roots of x^2 - 5x - 1 = 0 then find the valu...

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  6. Determine the values o m for which equations 3x^2+4m x+2=0a n d2x^2+3x...

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  11. If a ,b ,p ,q are non zero real numbers, then how many comman roots wo...

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  12. a ,b ,c are positive real numbers forming a G.P. If ax^2+2b x+c=0 and ...

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  19. If alpha, beta and gamma are the roots of the equation x^(3) + 3x^(2) ...

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  20. If euation x^(3) + ax^(2) + bx + c = 0, where a, b, c in Q (a ne 1)....

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