SOLUTION: Sketch and identify the given conic
12 x^2 – 3y^2 – 18x - 3y – 10 = 0
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Question 129870: Sketch and identify the given conic
12 x^2 – 3y^2 – 18x - 3y – 10 = 0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation
Rearrange the terms
Add to both sides
Complete the square for the x terms
Complete the square for the y terms
Combine like terms
Reduce
Add to both sides
Combine like terms
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Notice how the equation is now in the form . This means that this conic section is a hyperbola which opens up in the x direction.
So the conic section looks like this:
Graph of
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