What is -x^2-(y^2)/(49)=1 ?

The solution to -x^2-(y^2)/(49)=1 is Ellipse with (h,k)=(0,0),a=1,b=7

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-x^2-(y^2)/(49)=1

- x^{2} - \frac{y ^{2}}{49} = 1

(h, k) = (0, 0), a = 1, b = 7

Solution steps

- x^{2} - \frac{y ^{2}}{49} = 1

Rewrite

- x^{2} - \frac{y ^{2}}{49} = 1

in the form of the standard ellipse equation

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

Therefore ellipse properties are:

(h, k) = (0, 0), a = 1, 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 = 1

\frac{( x + 7 ) ^{2}}{144} + \frac{( y + 2 ) ^{2}}{100} = 1

\frac{x ^{2}}{36} + \frac{( y + 9 ) ^{2}}{81} = 1

4 x^{2} + 18 y^{2} = 36

(x - 3)^{2} + \frac{( y + 1 ) ^{2}}{49} = 1

22 y^{2} + 32 x^{2} - 308 y - 512 x + 2.422 = 0

What is -x^2-(y^2)/(49)=1 ?
The solution to -x^2-(y^2)/(49)=1 is Ellipse with (h,k)=(0,0),a=1,b=7