What is 5y^2-50y+44=9x^2-36x ?

The solution to 5y^2-50y+44=9x^2-36x is Hyperbola with (h,k)=(2,5),a=3,b=sqrt(5)

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5y^2-50y+44=9x^2-36x

5 y^{2} - 50 y + 44 = 9 x^{2} - 36 x

(h, k) = (2, 5), a = 3, b = 5

Solution steps

5 y^{2} - 50 y + 44 = 9 x^{2} - 36 x

Rewrite

5 y^{2} - 50 y + 44 = 9 x^{2} - 36 x

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (2, 5), a = 3, b = 5

x, h (x)^{2} = 42 + (7 x)^{2}

a^{2} - b^{2} = 150

\frac{x ^{2}}{15} - \frac{y ^{2}}{1} = 1

50 x^{2} - 4 y^{2} - 200 x + 24 y + 36 = 0

\frac{( x - 4 ) ^{2}}{9} - \frac{( y - 2 ) ^{2}}{4} = 1

What is 5y^2-50y+44=9x^2-36x ?
The solution to 5y^2-50y+44=9x^2-36x is Hyperbola with (h,k)=(2,5),a=3,b=sqrt(5)