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The sum of the squares of two positive numbers is 73 and the difference of the squares of the numbers is 55. Find the numbers. If there
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Respuesta :

x^2+y^2=73
x^2-y^2=55

x^2=73-y^2

73-y^2-y^2=55
-2y^2= -18 multiply both sides by -1
2y^2=18 divide both sides by 2
y^2=9
y= √9
y=3

x^2=73-9
x^2=64
x= √64
x=8

Check:
64+9=73
64-9=55

Good luck