SOLUTION: The graph of the relation x^2 - 4y^2 + 2x - 8y - 10 = 0 is a (an)
a. point
b. straight line
c. pair of intersecting straight lines
d. circle
e. ellipse
f. hyperbola
g. par
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-> SOLUTION: The graph of the relation x^2 - 4y^2 + 2x - 8y - 10 = 0 is a (an)
a. point
b. straight line
c. pair of intersecting straight lines
d. circle
e. ellipse
f. hyperbola
g. par
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Question 63902: The graph of the relation x^2 - 4y^2 + 2x - 8y - 10 = 0 is a (an)
a. point
b. straight line
c. pair of intersecting straight lines
d. circle
e. ellipse
f. hyperbola
g. parabola
h. none of these Answer by algebrapro18(249) (Show Source):
You can put this solution on YOUR website! You need to complete the square to get this equation into standard form and then see what it matches up to.
x^2 - 4y^2 + 2x - 8y - 10 = 0
x^2 + 2x - 4(y^2 - 2y) = 10
x^2 + 2x + 1 - 4(y^2 - 2y + 1) = 10+4+1
(x+1)^2 - 4(y-1)^2 = 15
((x+1)^2)/15 - (4(y-1)^2)/15 = 1
I can't remember if this is the standard form for an ellipse or a hyperbola but it is one of the two.
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