What is -36y^2+100x^2-1600=0 ?

The solution to -36y^2+100x^2-1600=0 is Hyperbola with (h,k)=(0,0),a=4,b= 20/3

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-36y^2+100x^2-1600=0

- 36 y^{2} + 100 x^{2} - 1600 = 0

(h, k) = (0, 0), a = 4, b = \frac{20}{3}

Solution steps

- 36 y^{2} + 100 x^{2} - 1600 = 0

Rewrite

- 36 y^{2} + 100 x^{2} - 1600 = 0

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{4 ^{2}} - \frac{( y - 0 ) ^{2}}{( \frac{20}{3} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 4, b = \frac{20}{3}

\frac{( x - 1 ) ^{2}}{16} - \frac{( y + 6 ) ^{2}}{49} = 1

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

x, r (x)^{2} = (x - 0.5)^{2} + (x + 0.5)^{2}

25 (x - 3)^{2} - 5 (y - 1)^{2} = 125

π (a^{2} - b^{2}) = \frac{49 π}{2}

What is -36y^2+100x^2-1600=0 ?
The solution to -36y^2+100x^2-1600=0 is Hyperbola with (h,k)=(0,0),a=4,b= 20/3