What is 25x^2-16y^2+300x+64y+436=0 ?

The solution to 25x^2-16y^2+300x+64y+436=0 is Hyperbola with (h,k)=(-6,2),a=4,b=5

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25x^2-16y^2+300x+64y+436=0

25 x^{2} - 16 y^{2} + 300 x + 64 y + 436 = 0

(h, k) = (- 6, 2), a = 4, b = 5

Solution steps

25 x^{2} - 16 y^{2} + 300 x + 64 y + 436 = 0

Rewrite

25 x^{2} - 16 y^{2} + 300 x + 64 y + 436 = 0

in the form of a standard hyperbola equation

\frac{( x - ( - 6 ) ) ^{2}}{4 ^{2}} - \frac{( y - 2 ) ^{2}}{5 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (- 6, 2), a = 4, b = 5

\frac{4 ( y - 1 ) ^{2}}{9} - \frac{4 ( x - 3 ) ^{2}}{27} = 1

5 x^{2} - 4 y^{2} + 24 y - 56 = 0

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

- 9 x^{2} + y^{2} = 36

4 x^{2} - 16 x - y^{2} - 6 y + 3 = 0

What is 25x^2-16y^2+300x+64y+436=0 ?
The solution to 25x^2-16y^2+300x+64y+436=0 is Hyperbola with (h,k)=(-6,2),a=4,b=5