What is (x^2)/(25)-(y^2)/(100)=1 ?

The solution to (x^2)/(25)-(y^2)/(100)=1 is Hyperbola with (h,k)=(0,0),a=5,b=10

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(x^2)/(25)-(y^2)/(100)=1

\frac{x ^{2}}{25} - \frac{y ^{2}}{100} = 1

(h, k) = (0, 0), a = 5, b = 10

Solution steps

\frac{x ^{2}}{25} - \frac{y ^{2}}{100} = 1

Rewrite

\frac{x ^{2}}{25} - \frac{y ^{2}}{100} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 5, b = 10

d^{2} = (3 - 20 t)^{2} + (4 - 30 t)^{2}

x^{2} - y^{2} - 4 x - 6 y - 14 = 0

x^{2} - y^{2} - 6 x + 16 y - 119 = 0

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

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

What is (x^2)/(25)-(y^2)/(100)=1 ?
The solution to (x^2)/(25)-(y^2)/(100)=1 is Hyperbola with (h,k)=(0,0),a=5,b=10