4. Compute the greatest real number K for which the graphs of (|x| − 5)2 + (|y| − 5)2 = K and (x − 1)2 + (y + 1)2 = 37 have exactly two intersection points.

1. There was a class of 41 people divided into three groups A, B, and C, and the average score of subject natural’s test was 89.7 points; the average score of group A was 89.8 points; the average score of A, B combination was 88.5 points; the average score of A and C combination was 91 points, and how many people were in each of groups A, B and C?

4. Compute the greatest real number K for which the graphs of (|x| − 5)² + (|y| − 5)²= K and (x − 1)² + (y + 1)² = 37 have exactly two intersection points.

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