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The sum of the squares of two positive integers is 193. The product of the two integers is 84. What is the sum of the two integers?

 Jan 26, 2019
 #1
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(a+b)^2=a^2+b^2+2ab

 

=193+2*84

 

 

 

=361

 

 

a+b=19

laugh

 Jan 26, 2019
 #2
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+1

A * B = 84, 
A^2 + B^2 = 193, solve for A, B 
Use substitution and you get:
A = 12  and  B = 7
Sum = 12 + 7 = 19

 Jan 26, 2019

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