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Find all pairs (x,y) of real numbers such that x + y = 10 and x^2 - y^2 = 56.

 Jan 19, 2022
 #1
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(7.8, 2.2)

 Jan 19, 2022
 #2
avatar+36434 
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    to solve        y = 10 - x    

       then   x^2 - y^2 = 56

                  x^2 - (10-x)^2 = 56   <===== solve for 'x'   then 'y' = 10 - x

ElectricPavlov  Jan 19, 2022

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