What is (x^2)/(100)-(y^2)/(75)=1 ?

The solution to (x^2)/(100)-(y^2)/(75)=1 is Hyperbola with (h,k)=(0,0),a=10,b=5sqrt(3)

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(x^2)/(100)-(y^2)/(75)=1

\frac{x ^{2}}{100} - \frac{y ^{2}}{75} = 1

(h, k) = (0, 0), a = 10, b = 53

Solution steps

\frac{x ^{2}}{100} - \frac{y ^{2}}{75} = 1

Rewrite

\frac{x ^{2}}{100} - \frac{y ^{2}}{75} = 1

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{1 0 ^{2}} - \frac{( y - 0 ) ^{2}}{( 5 3 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 10, b = 53

64 x^{2} - 36 y^{2} + 192 x + 36 y - 441 = 0

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

\frac{( x + 5 ) ^{2}}{16} - \frac{( y - 2 ) ^{2}}{36} = 2

\frac{x ^{2}}{9} - \frac{y ^{2}}{27} = 1

6 x^{2} - 3 y^{2} = 3

What is (x^2)/(100)-(y^2)/(75)=1 ?
The solution to (x^2)/(100)-(y^2)/(75)=1 is Hyperbola with (h,k)=(0,0),a=10,b=5sqrt(3)