What is 5y^2-16x^2+400=0 ?

The solution to 5y^2-16x^2+400=0 is Hyperbola with (h,k)=(0,0),a=5,b=4sqrt(5)

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5y^2-16x^2+400=0

5 y^{2} - 16 x^{2} + 400 = 0

(h, k) = (0, 0), a = 5, b = 45

Solution steps

5 y^{2} - 16 x^{2} + 400 = 0

Rewrite

5 y^{2} - 16 x^{2} + 400 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 5, b = 45

9 x^{2} - 4 y^{2} + 54 x + 8 y + 41 = 0

\frac{( x - 3 ) ^{2}}{9} - \frac{( y - 3 ) ^{2}}{16} = 1

2 x^{2} - 2 y^{2} + 3 x - 2 y - 43 = 0

\frac{30}{x + y} + \frac{54}{x - y} = 8

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

What is 5y^2-16x^2+400=0 ?
The solution to 5y^2-16x^2+400=0 is Hyperbola with (h,k)=(0,0),a=5,b=4sqrt(5)