SOLUTION: classify each conic section:
a) x^2-3*y+10=0
b) 16*x^2-9*y^2+96*y+18*y-135=0
c) 8*x^2+8*y^2+64*x+32*y-160=0
d) 25*x^2+16*y^2+100*x-128*y-44=0
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Question 50680: classify each conic section:
a) x^2-3*y+10=0
b) 16*x^2-9*y^2+96*y+18*y-135=0
c) 8*x^2+8*y^2+64*x+32*y-160=0
d) 25*x^2+16*y^2+100*x-128*y-44=0
Answer by rapaljer(4671) (Show Source): You can put this solution on YOUR website!
a) Only one variable is squared, so it is a parabola.
b) Difference (subtraction!) of the squares, so it is a hyperbola.
c) Sum of the squares with same coefficients of x^2 and y^2, so it is a circle.
d) Sum of the squares with unlike coefficients of x^2 and y^2, so it is an ellipse.
R^2 at SCC
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