a+1/a=-3then,find the value of a6+1/a6=?
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Answer:322
Step-by-step explanation:
a+1/a= - 3
on squaring both the sides;
a²+1/a²+2=9
=a²+1/a²=7 ......eq (1)
on cubing both the sides;
a⁶+1/a⁶+3a²+3/a²=343
a⁶+1/a⁶+3(a²+1/a²)=343
a⁶+1/a⁶+3(7)=343 (from eq1)
a⁶+1/a⁶=343-21=322
a⁶+1/a⁶=322
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