What is 25x^2-16y^2-400=0 ?

The solution to 25x^2-16y^2-400=0 is Hyperbola with (h,k)=(0,0),a=4,b=5

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25x^2-16y^2-400=0

25 x^{2} - 16 y^{2} - 400 = 0

(h, k) = (0, 0), a = 4, b = 5

Solution steps

25 x^{2} - 16 y^{2} - 400 = 0

Rewrite

25 x^{2} - 16 y^{2} - 400 = 0

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{4 ^{2}} - \frac{( y - 0 ) ^{2}}{5 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 4, b = 5

x^{2} - \frac{y ^{2}}{10} = 5

5 x^{2} - 3 y^{2} - 20 x - 18 y - 22 = 0

\frac{x ^{2}}{8} - \frac{y ^{2}}{8} = 1

- 4 x^{2} + 9 y^{2} - 24 x - 54 y + 81 = 0

4 x^{(2)} - 9 y^{(2)} = 216

What is 25x^2-16y^2-400=0 ?
The solution to 25x^2-16y^2-400=0 is Hyperbola with (h,k)=(0,0),a=4,b=5