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

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

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4x^2-5y^2=20

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

x^{2} + (x + 3)^{2} = y^{2}

4 x^{2} - 34 y - 5 y^{2} - 36 = 0

(\frac{2 y - 3 x}{18}) (\frac{2 y + 3 x}{2}) = 1

x^{2} - 2 y^{2} = 7

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

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