What is 7y^2-14x^2=98 ?

The solution to 7y^2-14x^2=98 is Hyperbola with (h,k)=(0,0),a=sqrt(14),b=sqrt(7)

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7y^2-14x^2=98

7 y^{2} - 14 x^{2} = 98

(h, k) = (0, 0), a = 14, b = 7

Solution steps

7 y^{2} - 14 x^{2} = 98

Rewrite

7 y^{2} - 14 x^{2} = 98

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( 14 ) ^{2}} - \frac{( x - 0 ) ^{2}}{( 7 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 14, b = 7

(\frac{x ^{2}}{36}) - \frac{y ^{2}}{25} = 1

\frac{y ^{2}}{4} - \frac{x ^{2}}{1} = 1

- 4 x^{2} + 5 y^{2} + 8 x - 30 y + 21 = 0

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

16 x^{2} - 96 x - 25 y^{2} + 200 y - 656 = 0

What is 7y^2-14x^2=98 ?
The solution to 7y^2-14x^2=98 is Hyperbola with (h,k)=(0,0),a=sqrt(14),b=sqrt(7)