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

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

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

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

4 x^{2} - 25 y^{2} + 50 y - 125 = 0

f (x) f (x) = x^{2} - x + 1

- 9 x^{2} + 4 y^{2} - 108 x + 32 y - 296 = 0

\frac{( x - 1 ) ^{2}}{9} - \frac{y ^{2}}{5} = 100

x^{2} = 2 y^{2} - 2 \cdot 0.01

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