What is ((x^{(2)}))/((9))-((y^{(2)}))/((16))=1 ?

The solution to ((x^{(2)}))/((9))-((y^{(2)}))/((16))=1 is Hyperbola with (h,k)=(0,0),a=3,b=4

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((x^{(2)}))/((9))-((y^{(2)}))/((16))=1

\frac{( x ^{(2)} )}{( 9 )} - \frac{( y ^{(2)} )}{( 16 )} = 1

(h, k) = (0, 0), a = 3, b = 4

Solution steps

\frac{x ^{2}}{9} - \frac{y ^{2}}{16} = 1

Rewrite

\frac{x ^{2}}{9} - \frac{y ^{2}}{16} = 1

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{3 ^{2}} - \frac{( y - 0 ) ^{2}}{4 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 3, b = 4

y^{2} - 4 z^{2} = 4

- \frac{y ^{2}}{4} + \frac{z ^{2}}{4} = 1

\frac{( y + 2 ) ^{2}}{4} - \frac{( x - 1 ) ^{2}}{64} = 1

(y - 1)^{2} - 9 (x - 2)^{2} = 9

y^{2} = (- x)^{2} + 6

What is ((x^{(2)}))/((9))-((y^{(2)}))/((16))=1 ?
The solution to ((x^{(2)}))/((9))-((y^{(2)}))/((16))=1 is Hyperbola with (h,k)=(0,0),a=3,b=4