What is 49x^2+16y^2-784=0 ?

The solution to 49x^2+16y^2-784=0 is Ellipse with (h,k)=(0,0),a=4,b=7

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49x^2+16y^2-784=0

49 x^{2} + 16 y^{2} - 784 = 0

(h, k) = (0, 0), a = 4, b = 7

Solution steps

49 x^{2} + 16 y^{2} - 784 = 0

Rewrite

49 x^{2} + 16 y^{2} - 784 = 0

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{4 ^{2}} + \frac{( y - 0 ) ^{2}}{7 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 4, b = 7

b > a

therefore

b

is semi-major axis and

a

is semi-minor axis

Ellipse with center (h, k) = (0, 0), b = 7, a = 4

9 x^{2} + 4 y^{2} - 54 x - 16 y + 61 = 0

\frac{y ^{2}}{16} + \frac{z ^{2}}{9} = 1

(x - 4)^{2} + 2 (y - 3)^{2} = 1

\frac{x ^{2}}{169} + \frac{y ^{2}}{36} = 1

3 y^{2} + x^{2} - 12 y + 9 = 0

What is 49x^2+16y^2-784=0 ?
The solution to 49x^2+16y^2-784=0 is Ellipse with (h,k)=(0,0),a=4,b=7