if a-1/a = 8 and a is not equal to 0 ; find (1) a+1/a (2) a²-1/a²
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Given : a-1/a = 8, a is not equal to zero
a - 1=8a
-1 = 8a - a
-1 = 7a
a = -1/7
To Find :
(1) a+1/a = ( -1/7 +1)/(-1/7)
= (-1+7)/7/(-1/7)
= (6/7)/(-1/7)
= 6/(-1)
= -6
(2)(a square -1)/a square = (-1/7)square - 1/(-1/7sq)
= (1/49 -1)/(1/49)
= (1 -49)/49/(1/49)
= (-48/49)/(1/49)
= -48/1
= -48
Verification :
((-1/7)-1)/(-1/7) = 8
((-1 -7)/7)/(-1/7) = 8
(-8/7)/(-1/7) =8
-8/(-1) = 8
Answered by
0
Answer:
Value of a is -1/7.
1. -6
2. 48
Step by Step Explanation:
Explanation is attached.
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