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High school mathematics plane rectangular coordinate system
B(-7.6,8.2)

So AB? = 12.6? +3.2? = 169

BC? =9.6? +7.2? = 144

AC? =3? +4? =25

AC? +BC? =AB?

right triangle

Let M(a, 0)

Then (a-5)? +5? +(a+7.6)? +8.2? =2[(a-2)? + 1? ]

Answer? - 10a+25+25+a? + 15.2a+57.76+67.24=2a? -8a+ 10

5.2a+ 175=-8a+ 10

13.2a=- 165

a=- 12.5

So m (-12.5,0)