plzzz solve it any one answer is -2
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Hi ,
It is given that ,
a + 1/a + 2 = 0
a² + 1 + 2a = 0
a² + 2a + 1 = 0
a² + 2 × a × 1 + 1² = 0
( a + 1 )² = 0
a + 1 = 0
a = -1
Now ,
( a^17 - 1/a^100 )
= [ ( - 1 )^17 - 1/( -1 )^100 ]
= - 1 - 1
= -2
I hope this helps you.
: )
It is given that ,
a + 1/a + 2 = 0
a² + 1 + 2a = 0
a² + 2a + 1 = 0
a² + 2 × a × 1 + 1² = 0
( a + 1 )² = 0
a + 1 = 0
a = -1
Now ,
( a^17 - 1/a^100 )
= [ ( - 1 )^17 - 1/( -1 )^100 ]
= - 1 - 1
= -2
I hope this helps you.
: )
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