SOLUTION: hello && greetings please help !! Which conic section is represented by the equation {{{4x^2-4xy+y^2+4x-2y+1=0}}} ???? A. ELLIPSE B. 2 LINES C. HYPERBOLA D. 1 LINE E. NON

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Question 146643: hello && greetings please help !!
Which conic section is represented by the equation ????
A. ELLIPSE
B. 2 LINES
C. HYPERBOLA
D. 1 LINE
E. NONE OF THESE
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
hello && greetings please help !!
Which conic section is represented by the equation ????
A. ELLIPSE
B. 2 LINES
C. HYPERBOLA
D. 1 LINE
E. NONE OF THESE 


 

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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