(1)a+b= 1, then (a+b)? =a？ +2ab+b？ = 1

A again? +b？ =2, so 2ab=- 1, ab=- 1/2.

a/b+b/a=(a？ +b？ )/ab=2/(- 1/2)=-4

(a-b)? =a？ -2ab+b？ =2-2*(- 1/2)=3

(2) a? +b？ =(a+b)(a？ -ab+b？ )= 1*[2-(- 1/2)]=5/2

(a？ )? +(b？ )? =(a？ +b？ )? -2a？ b？ =2? -2*(- 1/2) ? =4- 1/2=7/2

2, 5 times? The remainder of -kx+7 divided by 5x-2 is 6, which means (5x? -kx+7)-6 is divisible by 5x-2, or (5x? -kx+7)-6 After decomposing the genetic formula, one formula is 5x-2, so: -k+ 10=-5/2, then k=9/2.

The original formula is: 5x? -(9/2)x+7 =(5x-2)(x- 1/2)+6

So the quotient is: x- 1/2.

Let this number be a, and after subtracting 45, it is X? Add 44 to make y? rule

a-45=x？ a+44=y？

So (a-45)-(a+44)=x? -Really?

(y+x)(y-x)=89，

Solution: x=44 y=45 substitute a-45=x? Yes,

Get a= 198 1.

From the 5th power of A = 4th power of B, we know that

A= 16 B=32

A=8 1 B=243

A=256 B= 1024

……

From the cubic of c = the quadratic of d, we know that

……

C=49 D=343

C=8 1 D=729

C= 100 D= 1000

……

Because: C-A= 19.

So: A=8 1, C= 100, B=243, D= 1000.

D-B= 1000-243=757