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Question

If a=3-22, find the value of a2-1a2.

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Solution


a=3-22a2=3-222a2=9+8-122a2=17-122 .....1
1a2=117-1221a2=117-122×17+12217+1221a2=17+122172-1222
1a2=17+122289-2881a2=17+122 .....2
Subtracting (2) from (1), we get
a2-1a2=17-122-17+122a2-1a2=17-122-17-122a2-1a2=-242
Thus, the value of a2-1a2 is -242.

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