Saturday, May 18, 2013

solve each system by the substitution method. 1) 2x^2-y^2=6 2) y=x^2-3


x%5E2=y%2B3 


%0D%0A2%28y%2B3%29-y%5E2=6%0D%0A 



y%5E2-2y=0 



so y=0 or y=2 



y=0: 

%0D%0Ax%5E2=y%2B3=3%0D%0A 


%0D%0Ax=sqrt%283%29%0D%0A 

or 



%0D%0Ax=-sqrt%283%29%0D%0A 


y=2: 

%0D%0Ax=sqrt%285%29%0D%0A
or
%0D%0Ax=-sqrt%285%29%0D%0A 

solutions 

(-sqrt(3),0)
(sqrt(3),0)
(-sqrt(5),2)
(sqrt(5),2) 



:)

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