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Question

If a1a=8 and a0, find a21a2.

A
±1117
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B
±1317
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C
±1617
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D
±1717
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Solution

The correct option is C ±1617

a1a=8

Squaring both sides,

=(a1a)2=82

=a2+(1a)22(a)(1a)=64

=a2+1a22=64

=a2+1a2=66

Now,

(a+1a)2=a2+1a2+2(a)(1a)

=66+2

=68

=>a+1a=68

=±217

Now,

a21a2=(a+1a)(a1a)

=±(217)(8)

=±1617


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