What is 4x^2-25y^2+48x+150y-181=0 ?

The solution to 4x^2-25y^2+48x+150y-181=0 is Hyperbola with (h,k)=(-6,3),a=5,b=2

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4x^2-25y^2+48x+150y-181=0

4 x^{2} - 25 y^{2} + 48 x + 150 y - 181 = 0

(h, k) = (- 6, 3), a = 5, b = 2

Solution steps

4 x^{2} - 25 y^{2} + 48 x + 150 y - 181 = 0

Rewrite

4 x^{2} - 25 y^{2} + 48 x + 150 y - 181 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 6, 3), a = 5, b = 2

\frac{( x + 6 ) ^{2}}{32} - \frac{( y - 0.25 ) ^{2}}{100} = 1

x^{2} = y^{2} - 13 + 14 x

x^{2} - y^{2} \leq 1

64 x^{2} + 128 x - 9 y^{2} - 72 y - 656 = 0

x^{2} - 3 y^{2} - 2 x = 0

What is 4x^2-25y^2+48x+150y-181=0 ?
The solution to 4x^2-25y^2+48x+150y-181=0 is Hyperbola with (h,k)=(-6,3),a=5,b=2