What is 4x^2-25y^2=100 ?

The solution to 4x^2-25y^2=100 is Hyperbola with (h,k)=(0,0),a=5,b=2

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4x^2-25y^2=100

4 x^{2} - 25 y^{2} = 100

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

Solution steps

4 x^{2} - 25 y^{2} = 100

Rewrite

4 x^{2} - 25 y^{2} = 100

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)^{2} - (y - 1)^{2} = 9

25 x^{2} + 10918 x - 25 y^{2} - 29 y = 2321

100 x^{2} + 112952 x - 100 y^{2} - 106 y = 48838

\frac{( x + 2 ) ^{2}}{25} - \frac{( y - 1 ) ^{2}}{144} = 1

9 x^{2} - 4 y^{2} + 18 x - 24 y + 9 = 0

What is 4x^2-25y^2=100 ?
The solution to 4x^2-25y^2=100 is Hyperbola with (h,k)=(0,0),a=5,b=2