Question

a+1/a=3 find the value of a^6+1/a^6 (using a^3+b^3).

Answer 1

hey friend
heyfriend
hey friend here is your answer
a + 1/a = 3 
cubing on both sides
 ( a + 1/a ) ^3 = 27
a^3 + 1/a^3 + 3 (a + 1 /a) = 27 
a^3 + 1/a^3 = 27 - 9 = 18
( a^3 + 1/a^3 ) ^3 = 18^3) 
a^6 + 1/a^6 + 3( 18 ) =5832
a^6 + 1/a^6 = 5832 - 54 = 5778
hope this helps you 
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