What is the foci x^2+3y^2+8x+9y-14=0 ?

The foci x^2+3y^2+8x+9y-14=0 is ((-4sqrt(2)+7)/(sqrt(2)),-3/2),((-4sqrt(2)-7)/(sqrt(2)),-3/2)

Popular >

foci x^2+3y^2+8x+9y-14=0

foci

x^{2} + 3 y^{2} + 8 x + 9 y - 14 = 0

(\frac{- 4 2 + 7}{2}, - \frac{3}{2}), (\frac{- 4 2 - 7}{2}, - \frac{3}{2})

Solution steps

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

Calculate ellipse properties

x^{2} + 3 y^{2} + 8 x + 9 y - 14 = 0 :

Ellipse with center

(h, k) = (- 4, - \frac{3}{2}), a = \frac{7 3}{2}, b = \frac{7}{2}

(- 4 + c, - \frac{3}{2}), (- 4 - c, - \frac{3}{2})

Compute

c :

c = (\frac{7 3}{2})^{2} - (\frac{7}{2})^{2} : \frac{7}{2}

(- 4 + \frac{7}{2}, - \frac{3}{2}), (- 4 - \frac{7}{2}, - \frac{3}{2})

Refine

(\frac{- 4 2 + 7}{2}, - \frac{3}{2}), (\frac{- 4 2 - 7}{2}, - \frac{3}{2})

\frac{x ^{2}}{4} + \frac{y ^{2}}{13} = 1

\frac{( x - 3 ) ^{2}}{9} + \frac{( y + 2 ) ^{2}}{25} = 1

25 \frac{x ^{2}}{4} - 50 x + 100 y^{2} + 800 y + 1075 = 0

x^{2} + 16 y^{2} = 1

28 x^{2} + 64 y^{2} - 56 x - 420 = 0

What is the foci x^2+3y^2+8x+9y-14=0 ?
The foci x^2+3y^2+8x+9y-14=0 is ((-4sqrt(2)+7)/(sqrt(2)),-3/2),((-4sqrt(2)-7)/(sqrt(2)),-3/2)