What is ((x^2)/(a^2))-((y^2)/(b^2))=1 ?

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

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((x^2)/(a^2))-((y^2)/(b^2))=1

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

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

Solution steps

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1

Rewrite

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{b ^{2}} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

y^{2} - 4 x^{2} = 1

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

2 y^{2} - x^{2} + 2 x + 8 y + 3 = 0

25 x^{2} - 100 x - 9 y^{2} + 18 y + 316 = 0

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

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