What is y^2=((900+36(x-8)^2))/(25) ?

The solution to y^2=((900+36(x-8)^2))/(25) is Hyperbola with (h,k)=(8,0),a=6,b=5

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y^2=((900+36(x-8)^2))/(25)

y^{2} = \frac{( 900 + 36 ( x - 8 ) ^{2} )}{25}

(h, k) = (8, 0), a = 6, b = 5

Solution steps

y^{2} = \frac{900 + 36 ( x - 8 ) ^{2}}{25}

Rewrite

y^{2} - \frac{900 + 36 ( x - 8 ) ^{2}}{25} = 0

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{6 ^{2}} - \frac{( x - 8 ) ^{2}}{5 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (8, 0), a = 6, b = 5

\frac{x ^{2}}{400} - \frac{y ^{2}}{625} = 1

3 x^{2} - 9 y^{2} - 18 x + 18 y - 54 = 0

p^{2} = 32 + q^{2}

\frac{( x - 3 ) ^{2}}{( 3 ) ^{2}} - \frac{( y + 5 ) ^{2}}{( 6 ) ^{2}} = 1

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

What is y^2=((900+36(x-8)^2))/(25) ?
The solution to y^2=((900+36(x-8)^2))/(25) is Hyperbola with (h,k)=(8,0),a=6,b=5