What is 49x^2+81y^2=3969 ?

The solution to 49x^2+81y^2=3969 is Ellipse with (h,k)=(0,0),a=9,b=7

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49x^2+81y^2=3969

49 x^{2} + 81 y^{2} = 3969

(h, k) = (0, 0), a = 9, b = 7

Solution steps

49 x^{2} + 81 y^{2} = 3969

Rewrite

49 x^{2} + 81 y^{2} = 3969

in the form of the standard ellipse equation

\frac{( x - 0 ) ^{2}}{9 ^{2}} + \frac{( y - 0 ) ^{2}}{7 ^{2}} = 1

Therefore ellipse properties are:

(h, k) = (0, 0), a = 9, b = 7

a > b

therefore

a

is semi-major axis and

b

is semi-minor axis

Ellipse with center (h, k) = (0, 0), a = 9, b = 7

16 x^{2} - 32 x + 7 y^{2} - 33 - 42 y = 0

\frac{( x - 1 ) ^{2}}{5} + \frac{( y - 2 ) ^{2}}{8} = 1

11 x^{2} + 2 y^{2} - 22 = 0

\frac{( y + 3 ) ^{2}}{81} + \frac{( x - 7 ) ^{2}}{64} = 1

x^{2} + 8 y^{2} = 8

What is 49x^2+81y^2=3969 ?
The solution to 49x^2+81y^2=3969 is Ellipse with (h,k)=(0,0),a=9,b=7