What is 25x^2-y^2-150x+200=0 ?

The solution to 25x^2-y^2-150x+200=0 is Hyperbola with (h,k)=(3,0),a=1,b=5

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25x^2-y^2-150x+200=0

25 x^{2} - y^{2} - 150 x + 200 = 0

(h, k) = (3, 0), a = 1, b = 5

Solution steps

25 x^{2} - y^{2} - 150 x + 200 = 0

Rewrite

25 x^{2} - y^{2} - 150 x + 200 = 0

in the form of a standard hyperbola equation

\frac{( x - 3 ) ^{2}}{1 ^{2}} - \frac{( y - 0 ) ^{2}}{5 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (3, 0), a = 1, b = 5

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

x^{2} - 4 y^{2} - 2 x + 16 y - 31 = 0

x^{2} - 64 y^{2} = 64

\frac{36 ( x - 7 ) ^{2} - 64 ( y - 6 ) ^{2}}{2304} = 1

(y - 4)^{2} = \frac{4 ( x + 1 ) ^{2} + 84}{3}

What is 25x^2-y^2-150x+200=0 ?
The solution to 25x^2-y^2-150x+200=0 is Hyperbola with (h,k)=(3,0),a=1,b=5