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The product of two positive numbers is 24, and the sum of their squares is 73. What is the square of their difference?

 Feb 2, 2022
 #1
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xy = 24

x^2 + y^2 = 73

 

 

now:   ( x-y)^2 = ( x^2 + y^2 )   - 2xy     sub in the values above

                     =         73           - 2(24) = 25

 Feb 2, 2022
 #2
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The question doesn't ask for it,

but the two positive numbers are 3 and 8.  

Guest Feb 3, 2022

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