SOLUTION: please help me which conic section is represented by the equation 4x^2-4xy+y^2+4x-2y+1=0 A.ellipse B.2lines C.hyperbola D.1 line E.n/a

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Question 146718: please help me
which conic section is represented by the equation 4x^2-4xy+y^2+4x-2y+1=0
A.ellipse
B.2lines
C.hyperbola
D.1 line
E.n/a
Answer by Edwin McCravy(20054)   (Show Source): You can put this solution on YOUR website!
please help me
which conic section is represented by the equation 4x^2-4xy+y^2+4x-2y+1=0
A.ellipse
B.2lines
C.hyperbola
D.1 line
E.n/a


 

Group the first three terms and
group the fourth and fifth terms:



Factor the trinomial in the first parentheses



Write  as 



Factor 2 out of the second parentheses:



Let 



Factor that as





Use the square root principle:

=±



Since , replace  by 



This the equation of one line:

So the correct choice is D

Edwin
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