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

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

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25x^2-16y^2=400

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

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

Solution steps

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

Rewrite

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

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

9 x^{2} - 36 y^{2} = 324

\frac{( x - h ) ^{2}}{a ^{2}} - \frac{( y - k ) ^{2}}{b ^{2}} = 1

64 y^{2} - 36 x^{2} = 2304

4 x^{2} + 6 y - 32 x - y^{2} + 39 = 0

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

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