SOLUTION: Show that the equation x^2-6xy+9y^2=25 represents a pair of parallel straight lines, and draw these lines.

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Show that the equation x^2-6xy+9y^2=25 represents a pair of parallel straight lines, and draw these lines.      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 914271: Show that the equation x^2-6xy+9y^2=25 represents a pair of parallel straight lines, and draw these lines.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
By looking at it, I see:
+x%5E2++-+6x%2Ay+%2B+9y%5E2+=+25+
+%28+x+-+3y+%29%5E2+=+5%5E2+
Take the square root of both sides
+x+-+3y+=+5+
and
+x+-+3y+=+-5+
-----------------
+3y+=+x+-+5+
(1) +y+=+%281%2F3%29%2Ax+-+5%2F3+
and also:
+3y+=+x+%2B+5+
(2) +y+=+%281%2F3%29%2Ax+%2B+5%2F3+
-----------------------