What is (x^2)/9-(y^2)/7 =1 ?

The solution to (x^2)/9-(y^2)/7 =1 is Hyperbola with (h,k)=(0,0),a=3,b=sqrt(7)

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(x^2)/9-(y^2)/7 =1

\frac{x ^{2}}{9} - \frac{y ^{2}}{7} = 1

(h, k) = (0, 0), a = 3, b = 7

Solution steps

\frac{x ^{2}}{9} - \frac{y ^{2}}{7} = 1

Rewrite

\frac{x ^{2}}{9} - \frac{y ^{2}}{7} = 1

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{3 ^{2}} - \frac{( y - 0 ) ^{2}}{( 7 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 3, b = 7

4 x^{2} - 16 y^{2} = 64

\frac{( x - 1 ) ^{2}}{4} - \frac{( y - 3 ) ^{2}}{9} = 1

x^{2} - 4 y^{2} - 4 \geq 0

9 x^{2} - 4 y^{2} - 72 x + 8 y + 176 = 0

\frac{( y - k ) ^{2}}{a ^{2}} - \frac{( x - h ) ^{2}}{b ^{2}} = 1

What is (x^2)/9-(y^2)/7 =1 ?
The solution to (x^2)/9-(y^2)/7 =1 is Hyperbola with (h,k)=(0,0),a=3,b=sqrt(7)