What is 4x^2-4y^2+100=0 ?

The solution to 4x^2-4y^2+100=0 is Hyperbola with (h,k)=(0,0),a=5,b=5

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4x^2-4y^2+100=0

4 x^{2} - 4 y^{2} + 100 = 0

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

Solution steps

4 x^{2} - 4 y^{2} + 100 = 0

Rewrite

4 x^{2} - 4 y^{2} + 100 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

3 x^{(2)} - 6 x - 4 y^{(2)} - 9 = 0

x^{2} - 3 y^{2} - 6 x + 12 = 0

\frac{- y ^{2}}{4} + \frac{z ^{2}}{4} = - \frac{3}{4}

2 x^{2} - y^{2} = 17

x^{2} - 4 y^{2} = 45

What is 4x^2-4y^2+100=0 ?
The solution to 4x^2-4y^2+100=0 is Hyperbola with (h,k)=(0,0),a=5,b=5