Question
Mathematics Question on Quadratic Equations
Let α,β be the roots of the quadratic equation x2+√6x+3=0. Then α15+β15+α160+β10α23+β23+α14+β14 is equal to
A
9
B
12
C
81
D
729
Answer
81
Explanation
Solution
The correct option is(C): 81
Let α,β be the roots of the quadratic equation x2+√6x+3=0. Then α15+β15+α160+β10α23+β23+α14+β14 is equal to
9
12
81
729
81
The correct option is(C): 81