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Solve the system x/(x^2 + y^2) = 1 and y/(x^2 + y^2) = 2.

 Dec 22, 2019
 #1
avatar+19806 
0

----------------------------

 

x = (x^2+y^2)

 

y = 2(x^2+y^2 )   from the first equation, this = 2x

 

 

Sub y = 2x in to the first equation

x = x^2 + 4x^2    re-arrange

5x^2-x = 0

x (5x-1) = 0      so x = 0 and  .2       sub these values into the equation (red ones) to find the corresponding 'y' values.....

 Dec 22, 2019
edited by ElectricPavlov  Dec 22, 2019
edited by ElectricPavlov  Dec 22, 2019
edited by ElectricPavlov  Dec 22, 2019
 #2
avatar+11146 
0

Solve the system x/(x^2 + y^2) = 1 and y/(x^2 + y^2) = 2.

laugh

 Dec 22, 2019

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