In the RT triangle ABC, ∠ C = 90 degrees, AC + BC = 7 / 2, ab-bc = 1 / 2. Find the length of ab

According to the meaning of the title:
AC+CB=7/2 ①
AB-BC=1/2 ②
AB²=AC²+BC² ③
The results show that: 1
AC²=1/4+BC ④
The results show that: 1
BC²-8BC+12=0
Get: BC = 2, BC = 6
AB=1/2+2=5/2

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