What is (x^2}{49}-\frac{y^2)/4 =1 ?

The solution to (x^2}{49}-\frac{y^2)/4 =1 is Hyperbola with (h,k)=(0,0),a=7,b=2

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(x^2}{49}-\frac{y^2)/4 =1

\frac{x ^{2}}{49} - \frac{y ^{2}}{4} = 1

(h, k) = (0, 0), a = 7, b = 2

Solution steps

\frac{x ^{2}}{49} - \frac{y ^{2}}{4} = 1

Rewrite

\frac{x ^{2}}{49} - \frac{y ^{2}}{4} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 7, b = 2

\frac{( y - 3 ) ^{2}}{16} - \frac{( x + 4 ) ^{2}}{25} = 1

2 x^{2} - 2 y^{2} = 3

x^{2} - 2 y^{2} - x = 1

\frac{( y + 2 ) ^{2}}{25} - \frac{( x - 3 ) ^{2}}{4} = 1

x^{2} - 2 x - 4 y^{2} - 40 y = 103

What is (x^2}{49}-\frac{y^2)/4 =1 ?
The solution to (x^2}{49}-\frac{y^2)/4 =1 is Hyperbola with (h,k)=(0,0),a=7,b=2