What is y^{(2)}-x^{(2)}=100 ?

The solution to y^{(2)}-x^{(2)}=100 is Hyperbola with (h,k)=(0,0),a=10,b=10

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y^{(2)}-x^{(2)}=100

y^{(2)} - x^{(2)} = 100

(h, k) = (0, 0), a = 10, b = 10

Solution steps

y^{2} - x^{2} = 100

Rewrite

y^{2} - x^{2} = 100

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 10, b = 10

4 x^{2} - 9 y^{2} - 36 y = 72

3 x^{2} + 2 x - 3 y^{2} + 14 y = - 24

x, K (x)^{2} = 4 (128 x + x^{2})

\frac{( x - 1 ) ^{2}}{9} - \frac{( y - 5 ) ^{2}}{16} = 1

9 x^{2} - 16 y^{2} - 18 x - 64 y - 200 = 0

What is y^{(2)}-x^{(2)}=100 ?
The solution to y^{(2)}-x^{(2)}=100 is Hyperbola with (h,k)=(0,0),a=10,b=10