What is (x^2)/4-(y^2)/(49)=1 ?

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

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(x^2)/4-(y^2)/(49)=1

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

9 x^{2} - 4 y^{2} + 54 x + 16 y + 66 = 0

x^{2} = (13 y^{2} + 1)

a^{2} - b^{2} = 424

a^{2} - b^{2} = 415

4 y^{2} - 24 y - 2 x^{2} + 20 = 2

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