What is the foci (x^2)/(63500)+(y^2)/(50900)=1 ?

The foci (x^2)/(63500)+(y^2)/(50900)=1 is (30sqrt(14),0),(-30sqrt(14),0)

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foci (x^2)/(63500)+(y^2)/(50900)=1

foci

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

(3014, 0), (- 3014, 0)

Solution steps

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

Calculate ellipse properties

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

Ellipse with center

(h, k) = (0, 0), a = 10635, b = 10509

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

Compute

c :

c = (10635)^{2} - (10509)^{2} : 3014

(0 + 3014, 0), (0 - 3014, 0)

Refine

(3014, 0), (- 3014, 0)

\frac{( x - 6 ) ^{2}}{16} + \frac{( y + 3 ) ^{2}}{25} = 1

4 x^{2} + 25 y^{2} + 24 x + 250 y = - 561

4 x^{2} + 36 y^{2} + 24 x + 432 y = - 1188

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

\frac{x ^{2}}{25} + \frac{y ^{2}}{169} = 1

What is the foci (x^2)/(63500)+(y^2)/(50900)=1 ?
The foci (x^2)/(63500)+(y^2)/(50900)=1 is (30sqrt(14),0),(-30sqrt(14),0)