if a-1/a-2=6 then show (a-2)^2-1/(a-2)^2
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Step-by-step explanation:
If a+a1=6 and a=0; find a2−a21 .
A
±243
B
±42
C
±242
D
±43
Easy
Answer
Correct option is
C
±242
a+a1=6
Squaring both sides,
=(a+a1)2=62
=a2+(a1)2+2(a)(a1)=36
=a2+a21+2=36
=a2+a21=34
Now,
(a−a1)2=a2+a21−2(a)(a1)
=34−2
=32
=>a−a1=±32
=±42
Now,
(a2−a21)=(a+a1)(a−a1)
=6(±4
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