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A preliminary study on mathematical function indexes of senior one. Wait online! ! Urgent! !
It is known that A+A minus edge = 3. Find the following values.

⑴ a? +a negative square

⑵a? Party +A negative? square

⑶a? -Negative two sides

⑷a? -Negative tripartite

Solution: obtained from the known A+A- 1 = 3.

⑴a? +a^-2 =a? + 1/a? =(a+ 1/a)? -2=9-2=7.

⑵a? Party +A negative? square

=a^0.5+a^-0.5

Pass (√ a+1√ a)? =(a+ 1/a)-2=3-2= 1,

Get a 0.5+a-0.5 =1.a0.5+a-0.5 =-1(discard).

Answer? Party +A negative? square

=a^0.5+a^-0.5 = 1。

⑶a? -a^-2 =a? + 1/a? =(a- 1/a)? +2=9+2= 1 1.

⑷ a? +a^-3

=(a+ 1/a)(a? - 1+ 1/a? )

=3*(7- 1)

= 18.