SOLUTION: What conic does the equation x2 - 5x + 10y + 11 = 0 represent? please please help! A. parabola B. hyperbola C. circle D. ellipse which could it be?

Question 288666: What conic does the equation x2 - 5x + 10y + 11 = 0 represent? please please help! A. parabola
B. hyperbola
C. circle
D. ellipse
which could it be?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Subtract 11 from both sides.

Add 5x to both sides

Subtract from both sides

Rearrange the terms into descending degree.

Divide both sides by 10 to isolate 'y'.

Break up the fraction.

Reduce and simplify.

Now that is in the form , which is the general equation for a parabola, this means that is a parabola where , and

Because is equivalent to , is also a parabola.

So is a parabola.
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