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Popular >

foci 4y^2-x^2+6x+8y+4=0

Solution

foci

4 y^{2} - x^{2} + 6 x + 8 y + 4 = 0

Solution

(\frac{6 + 3 5}{2}, - 1), (\frac{6 - 3 5}{2}, - 1)

Solution steps

(h + c, k), (h - c, k)

Calculate Hyperbola properties

4 y^{2} - x^{2} + 6 x + 8 y + 4 = 0 :

Right-left Hyperbola with

(h, k) = (3, - 1), a = 3, b = \frac{3}{2}

(3 + c, - 1), (3 - c, - 1)

Compute

c :

c = 3^{2} + (\frac{3}{2})^{2} : \frac{3 5}{2}

(3 + \frac{3 5}{2}, - 1), (3 - \frac{3 5}{2}, - 1)

Refine

(\frac{6 + 3 5}{2}, - 1), (\frac{6 - 3 5}{2}, - 1)

Popular Examples

foci-9x^2+y^2+6y-27=0 foci

- 9 x^{2} + y^{2} + 6 y - 27 = 0

foci x^2-4y^2-8=0 foci

x^{2} - 4 y^{2} - 8 = 0

foci ((y+1)^2)/(49)-((x+3)^2)/(64)=1 foci

\frac{( y + 1 ) ^{2}}{49} - \frac{( x + 3 ) ^{2}}{64} = 1

foci 289y^2-x^2=1 foci

289 y^{2} - x^{2} = 1

foci ((x+2)^2}{16}-\frac{(y-3)^2)/9 =1 foci

\frac{( x + 2 ) ^{2}}{16} - \frac{( y - 3 ) ^{2}}{9} = 1

Frequently Asked Questions (FAQ)

What is the foci 4y^2-x^2+6x+8y+4=0 ?
The foci 4y^2-x^2+6x+8y+4=0 is ((6+3sqrt(5))/2 ,-1),((6-3sqrt(5))/2 ,-1)