What is (x^2)/(100)-(y^2)/(64)=1 ?

The solution to (x^2)/(100)-(y^2)/(64)=1 is Hyperbola with (h,k)=(0,0),a=10,b=8

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(x^2)/(100)-(y^2)/(64)=1

\frac{x ^{2}}{100} - \frac{y ^{2}}{64} = 1

(h, k) = (0, 0), a = 10, b = 8

Solution steps

\frac{x ^{2}}{100} - \frac{y ^{2}}{64} = 1

Rewrite

\frac{x ^{2}}{100} - \frac{y ^{2}}{64} = 1

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{1 0 ^{2}} - \frac{( y - 0 ) ^{2}}{8 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 10, b = 8

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

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

- 9 x^{2} + 16 y^{2} - 36 x - 160 y + 220 = 0

9 y^{2} - 16 x^{2} - 54 y - 32 x - 79 = 0

\frac{40}{x + y} + \frac{2}{x - y} = 5

What is (x^2)/(100)-(y^2)/(64)=1 ?
The solution to (x^2)/(100)-(y^2)/(64)=1 is Hyperbola with (h,k)=(0,0),a=10,b=8