SOLUTION: Determine the coordinates of the foci of the hyperbola : y2-2x2-4x-4y=0. (Round off answer to nearest hundredths.)

Question 502428: Determine the coordinates of the foci of the hyperbola : y2-2x2-4x-4y=0.
(Round off answer to nearest hundredths.)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Determine the coordinates of the foci of the hyperbola : y2-2x2-4x-4y=0.
(Round off answer to nearest hundredths.)
**
y2-2x2-4x-4y=0
complete the squares
(y^2-4y+4)-2(x^2+2x+1)=4-2=2
(y-2)^2-2(x+1)^2=2
(y-2)^2/2-(x+1)^2/1=1
This is a hyperbola with vertical transverse axis of the standard form:
(y-k)^2/a^2-(x-h)^2,b^2=1
For given equation:
Center: (-1, 2)
a^2=2
b^2=1
c^2=a^2+b^2=2+1=3
c=√3
..
Foci: (-1, 2�c)=(-1, 2�√3)=(-1, 2+√3) and (-1, 2-√3)=(-1, 3.73) and (-1, .27)
ans:
Coordinates of the Foci: (-1, 3.73) and (-1, 0.27)
RELATED QUESTIONS
Find the vertices and foci of the hyperbola. 16x2 − y2 − 64x − 4y + 44 (answered by lwsshak3)

find the vertices and foci of the hyperbola 4x�-y�-48x-4y+40=0 (answered by lwsshak3)

Find the center,vertices, foci, and asymptotes of the hyperbola 4x2-y2-8x+2y-1=0 and draw (answered by stanbon)

State whether the graph of the equation is a parabola, circle, ellipse, or hyperbola .... (answered by Alan3354)

determine the zeros(if any) of (round to nearest hundredths) f(x)=-1+1/2 1n(x-7) (answered by stanbon)

Find the vertices and foci of the hyperbola. 9x2 − y2 − 36x − 2y + 26... (answered by lwsshak3)

Find the foci of the hyperbola with the equation (y2 / 4) � (x2 / 49) =... (answered by nyc_function)

The half-life of 89 grams of Kryptonite is 13 days. How many grams of Kryptonite is left... (answered by ikleyn)

Y^2-6y-4x^2-8x=95 Find the coordinates of the vertices and foci and the equations of... (answered by lwsshak3)