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Real numbers x and y have a difference of 16 and a product of 23. Find x^2+y^2.

 May 12, 2020
 #1
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x - y  =  23

Square both sides

x^2 - 2xy + y^2  = 529      (1)

 

xy   = 23

2xy  = 46      (2)

 

Sub (2)  into (1)

 

x^2  -2(46) + y^2  = 529

 

x^2  - 92  + y^2   =  529       add 92 to both sides

 

x^2  + y^2  =  621

 

 

cool cool cool

 May 12, 2020

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