What is 16x^2-20y^2-320=0 ?

The solution to 16x^2-20y^2-320=0 is Hyperbola with (h,k)=(0,0),a=2sqrt(5),b=4

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16x^2-20y^2-320=0

16 x^{2} - 20 y^{2} - 320 = 0

(h, k) = (0, 0), a = 25, b = 4

Solution steps

16 x^{2} - 20 y^{2} - 320 = 0

Rewrite

16 x^{2} - 20 y^{2} - 320 = 0

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 2 5 ) ^{2}} - \frac{( y - 0 ) ^{2}}{4 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 25, b = 4

5 x^{2} - 2 y^{2} + 10 x - 12 y = 23

y^{2} - 9 x^{2} = 4

4 x^{2} - 9 y^{2} + 3 x + 18 y + 91 = 0

x^{2} - y^{2} - 9 = 0

y^{2} + 2 y = 4 x^{2} + 3

What is 16x^2-20y^2-320=0 ?
The solution to 16x^2-20y^2-320=0 is Hyperbola with (h,k)=(0,0),a=2sqrt(5),b=4