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20 12 Mianyang senior high school entrance examination mathematics questions and answers
Solution: Because x 1 and x2 are the two roots of the equation.

So (x1-a) (x1-b) =1and (x2-a)(x2-b)= 1.

Therefore, (x 1-a) and (x 1-b) have the same symbol, and (x2-a) and (x2-b) have the same symbol.

Because x 1

Therefore, (x 1-a) and (x 1-b) are both negative signs, and (x2-a) and (x2-b) are both positive signs.

Available: x 1-a < 0 and x 1-b < 0.

X 1 < a and x 1 < b

Available: x 1 < a

At the same time, x2-a > 0 and x2-b > 0.

X2 > a and x2 > b

Available: x2 > b

To sum up, we can see that the relationship between a, b, x 1 and x2 is:

x 1 < a & lt; b & ltx2