SOLUTION: I am not sure how to go about changing the following problem into standard form. I tried to do completing the square, but I'm not sure how to use it in this situation or when ther

Question 49056: I am not sure how to go about changing the following problem into standard form. I tried to do completing the square, but I'm not sure how to use it in this situation or when there is a coefficient other than 1 in front of x^2 and y^2. I would greatly appreciate help on how to solve the following problem. Thanks!
Change the equation to standard form and name the figure.
3x^2-2y^2-12x-20y-44=0

Found 2 solutions by Nate, xerxes0212:
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!

You square the number, then multiply it by the coefficient.

Answer by xerxes0212(2) (Show Source): You can put this solution on YOUR website!
3x^2 - 2y^2 - 12x - 20y - 44 = 0
Transpose -44 to the other side.
3x^2 - 2y^2 - 12x - 20y = 44
Rearrange the terms.
3x^2 - 12x - 2y^2 - 20y = 44
Factor expressions with same variables by finding the common factor.
3(x^2 - 4x) - 2(y^2 + 10y) = 44
Use completing the squares and balance the equation (add terms to the right side) by adding the terms that were added to the left side.
3(x^2 - 4x + 4) - 2(y^2 + 10y + 25) = 44 + 3(4) - 2(25)
Simplify the right side.
3(x^2 - 4x + 4) - 2(y^2 + 10y + 25) = 6
Write the perfect square trinomials as square of binomials.
3(x - 2)^2 - 2(y+ 5)^2 = 6
Make the right side equal to 1 by dividing all terms by 6.
(x - 2)^2 - (y + 5)^2
--------- --------- = 1
2 3
This equation represents a hyperbola with vertical traverse axis.
RELATED QUESTIONS
I am unsure of how to do this question. Algebraically determine the vertex of the... (answered by MathLover1)
I am unsure of how to do this question. Algebraically determine the vertex of the... (answered by MathLover1)
Find the quotient by 0.9 / 0.45 i. changing these numbers into fraction form, applying... (answered by richwmiller)
I have tried completing the square and quad formula for the following question and I am... (answered by jim_thompson5910)
I need help I am not sure How to do this problem Find the slope of any line... (answered by jim_thompson5910)
Hello I am not sure how to go about this. If the sides of a square are decreased by 3cm,... (answered by Earlsdon)
Please help me with this problem: How do I put the following in standard form??... (answered by jim_thompson5910)
{{{sqrt X+2 - sqrt X-3 = sqrt X-6}}} This is the problem I am trying to work out. I... (answered by ankor@dixie-net.com)
Here is the question: 5x+2 I have to put this into standard form but I'm not sure how... (answered by Alan3354)