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

来源:学生作业帮助网 编辑:作业帮 时间:2024/11/16 10:30:22
if a and b are both positive intergers and a平方-b平方=7 .what is the value of a
xJ@_eAbX`Re HXA "SIZ.5iN}7Y⹰03|3ZU!lk БYsuXd1݅yT:3E\CG 89QTlKKVUO*j'u'M:rsڋxH;3ڙ

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.