SOLUTION: Convert the equation 6x^2-3y^2+12x-18y-3=0 to the standard form of a hyperbola. Thank you.
Algebra.Com
Question 1160251: Convert the equation 6x^2-3y^2+12x-18y-3=0 to the standard form of a hyperbola. Thank you.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Move constant term to RHS, group by variable, and factor lead coefficient from each group:
\ -\ 3(y^2\ +\ 6y\ \ \ )\ =\ 3)
Complete the square on each group and compensate in the RHS considering the lead coefficient on each group:
\ -\ 3(y^2\ +\ 6y\ +\ 9)\ =\ 3\ +\ 6\ -\ 27\ =\ -18)
Factor the two perfect square trinomials, divide both sides by the constant term in the RHS, and arrange with positive term leading:
^2}{6}\ -\ \frac{(x\,+\,1)^2}{3}\ =\ 1)
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
Your help is appreciated.
Convert equation of the parabola y = -6x^2-6x to standard... (answered by Earlsdon)
How do you convert x^2-2y^2-4y-6=0 into the standard form of a hyperbola?
(answered by josgarithmetic)
{{{Convert equation of the parabola y=-6^2-6x to standard form and then find the product... (answered by stanbon)
Convert this general equation of a hyperbola to standard form.... (answered by lwsshak3)
Convert the equation to standard form by completing the square... (answered by MathLover1)
Convert the general equation to standard form of a parabola... (answered by josgarithmetic)
How do I find the standard form of the hyperbola from the equation... (answered by lwsshak3)
Write the following in standard form and name the conic section.
1. x^2+6x-3y+15=0
2.... (answered by stanbon)
Does the equation 3y^2 - x - 6y + 5 = 0 represent a hyperbola and how do you write this... (answered by richwmiller)