if a and b are both positive intergers and a平方-b平方=7 .what is the value of a

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if a and b are both positive intergers and a平方-b平方=7 .what is the value of a

if a and b are both positive intergers and a平方-b平方=7 .what is the value of a
if a and b are both positive intergers and a平方-b平方=7 .what is the value of a

if a and b are both positive intergers and a平方-b平方=7 .what is the value of a
原句翻译为:如果a和b都是正整数,且a²-b²=7,那么a的值是多少?
由题意,可得:
a²-b²=7
即(a+b)(a-b)=7
∴a+b=7,a-b=1
或a+b=-7,a-b=-1
解得:a=4或-4,b=3或-3
又∵a,b>0
∴a=4,b=3
  答:a的值为4.