What is (x^2)/7-(y^2)/6 =1 ?

The solution to (x^2)/7-(y^2)/6 =1 is Hyperbola with (h,k)=(0,0),a=sqrt(7),b=sqrt(6)

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(x^2)/7-(y^2)/6 =1

\frac{x ^{2}}{7} - \frac{y ^{2}}{6} = 1

(h, k) = (0, 0), a = 7, b = 6

Solution steps

\frac{x ^{2}}{7} - \frac{y ^{2}}{6} = 1

Rewrite

\frac{x ^{2}}{7} - \frac{y ^{2}}{6} = 1

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 7 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 6 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 7, b = 6

25 x^{2} - y^{2} + 50 x + 6 y - 9 = 0

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

x^{2} - y^{2} - 1 < 0

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

y^{2} = x^{2} - 25

What is (x^2)/7-(y^2)/6 =1 ?
The solution to (x^2)/7-(y^2)/6 =1 is Hyperbola with (h,k)=(0,0),a=sqrt(7),b=sqrt(6)