What is 4x^2-5y^2+20=0 ?

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

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4x^2-5y^2+20=0

4 x^{2} - 5 y^{2} + 20 = 0

(h, k) = (0, 0), a = 2, b = 5

Solution steps

4 x^{2} - 5 y^{2} + 20 = 0

Rewrite

4 x^{2} - 5 y^{2} + 20 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = 5

3 x^{2} - 4 y^{2} + y = 9 (2.1)

x^{2} - 4 y^{2} + 2 x - 1 y - 4 = 0

x^{2} + 11 = y^{2} + 6 x - 2 y

4 x^{2} - 8 y^{2} + 6 x + 12 y - 82 = 0

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

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