What is 4x^2-16x-9y^2=20 ?

The solution to 4x^2-16x-9y^2=20 is Hyperbola with (h,k)=(2,0),a=3,b=2

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4x^2-16x-9y^2=20

4 x^{2} - 16 x - 9 y^{2} = 20

(h, k) = (2, 0), a = 3, b = 2

Solution steps

4 x^{2} - 16 x - 9 y^{2} = 20

Rewrite

4 x^{2} - 16 x - 9 y^{2} = 20

in the form of a standard hyperbola equation

\frac{( x - 2 ) ^{2}}{3 ^{2}} - \frac{( y - 0 ) ^{2}}{2 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (2, 0), a = 3, b = 2

\frac{17}{x + y} \frac{5}{x - y} = 5

\frac{( y - 3 ) ^{2}}{81} - \frac{( x + 5 ) ^{2}}{144} = 1

(\frac{y ^{2}}{4}) - (\frac{x ^{2}}{16}) = 1

\frac{( x - 3 ) ^{2}}{16} - \frac{y ^{2}}{4} = 1

\frac{x ^{2}}{a ^{2}} - \frac{y ^{2}}{a - 16} = 1

What is 4x^2-16x-9y^2=20 ?
The solution to 4x^2-16x-9y^2=20 is Hyperbola with (h,k)=(2,0),a=3,b=2