What is 100x^2-44y^2+275=0 ?

The solution to 100x^2-44y^2+275=0 is Hyperbola with (h,k)=(0,0),a= 5/2 ,b=(sqrt(11))/2

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100x^2-44y^2+275=0

100 x^{2} - 44 y^{2} + 275 = 0

(h, k) = (0, 0), a = \frac{5}{2}, b = \frac{11}{2}

Solution steps

100 x^{2} - 44 y^{2} + 275 = 0

Rewrite

100 x^{2} - 44 y^{2} + 275 = 0

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( \frac{5}{2} ) ^{2}} - \frac{( x - 0 ) ^{2}}{( \frac{11}{2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{5}{2}, b = \frac{11}{2}

10 y^{2} + 60 y - 160 x - 255 = 20 x^{2}

\frac{( y + 8 ) ^{2}}{16} - \frac{( x + 4 ) ^{2}}{25} = 1

a^{2} - b^{2} = 3

a^{2} - b^{2} = 5

\frac{( y - 6 ) ^{2}}{49} - \frac{( x + 2 ) ^{2}}{64} = 1

What is 100x^2-44y^2+275=0 ?
The solution to 100x^2-44y^2+275=0 is Hyperbola with (h,k)=(0,0),a= 5/2 ,b=(sqrt(11))/2