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sudarshan gupta Grade: Upto college level
        

the number of real solutions of the system


x+y+z=1,2xy-z2=1 is


I am getting 1 as the ans but answer given is 3

7 years ago

Answers : (1)

PARTH ARORA
19 Points
										

by simple analysis we see that 


x=1 y=1 z=-1 satisfy both the equations 


z= 1- ( x+y)


put in second equation 


 


2xy - { 1-( x+y)}^2  =1 


2xy -1 - (x+y)^2 + 2(x+y)=1


2(X+Y)-(X^2 +Y^2)=2 


only has one solution

6 years ago
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