What is 25x^2-32y^2-800=0 ?

The solution to 25x^2-32y^2-800=0 is Hyperbola with (h,k)=(0,0),a=4sqrt(2),b=5

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25x^2-32y^2-800=0

25 x^{2} - 32 y^{2} - 800 = 0

(h, k) = (0, 0), a = 42, b = 5

Solution steps

25 x^{2} - 32 y^{2} - 800 = 0

Rewrite

25 x^{2} - 32 y^{2} - 800 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 42, b = 5

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

\frac{( x - 1 ) ^{2}}{16} - \frac{( y - 2 ) ^{2}}{9} = 1

[f (x)]^{2} = 3 x^{2} - 5 x + 4

- \frac{x ^{2}}{25} + \frac{y ^{2}}{9} = 1

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

What is 25x^2-32y^2-800=0 ?
The solution to 25x^2-32y^2-800=0 is Hyperbola with (h,k)=(0,0),a=4sqrt(2),b=5