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Question

Mathematics Question on Quadratic Equations

Let α,β be the roots of the quadratic equation x2+√6x+3=0. Then α23+β23+α14+β14α15+β15+α160+β10\frac{α^23+β^23 + α ^14 + β ^14 }{α ^15 + β ^15 + α 160 + β ^{10}} is equal to

A

9

B

12

C

81

D

729

Answer

81

Explanation

Solution

The correct option is(C): 81