What is the foci 16x^2+25y^2+100y-300=0 ?

The foci 16x^2+25y^2+100y-300=0 is (3,-2),(-3,-2)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

foci 16x^2+25y^2+100y-300=0

foci

16 x^{2} + 25 y^{2} + 100 y - 300 = 0

(3, - 2), (- 3, - 2)

Solution steps

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

Calculate ellipse properties

16 x^{2} + 25 y^{2} + 100 y - 300 = 0 :

Ellipse with center

(h, k) = (0, - 2), a = 5, b = 4

(0 + c, - 2), (0 - c, - 2)

Compute

c :

c = 5^{2} - 4^{2} : 3

(0 + 3, - 2), (0 - 3, - 2)

Refine

(3, - 2), (- 3, - 2)

\frac{x ^{2}}{8 ^{2}} + \frac{y ^{2}}{4 ^{2}} = 1

x^{2} + 3 y^{2} = 1

\frac{( x - 2 ) ^{2}}{9} + \frac{( y + 1 ) ^{2}}{36} = 1

\frac{( x - 4 ) ^{2}}{9} + \frac{( y - 2 ) ^{2}}{4} = 1

\frac{x ^{2}}{63500} + \frac{y ^{2}}{50900} = 1

What is the foci 16x^2+25y^2+100y-300=0 ?
The foci 16x^2+25y^2+100y-300=0 is (3,-2),(-3,-2)