(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