What is (x^2}{140}-\frac{(y-6)^2)/4 =1 ?

The solution to (x^2}{140}-\frac{(y-6)^2)/4 =1 is Hyperbola with (h,k)=(0,6),a=2sqrt(35),b=2

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(x^2}{140}-\frac{(y-6)^2)/4 =1

\frac{x ^{2}}{140} - \frac{( y - 6 ) ^{2}}{4} = 1

(h, k) = (0, 6), a = 235, b = 2

Solution steps

\frac{x ^{2}}{140} - \frac{( y - 6 ) ^{2}}{4} = 1

Rewrite

\frac{x ^{2}}{140} - \frac{( y - 6 ) ^{2}}{4} = 1

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 2 35 ) ^{2}} - \frac{( y - 6 ) ^{2}}{2 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 6), a = 235, b = 2

- 3 x^{2} + 2 y^{2} + 6 x + 8 y = - 15

x^{2} - 3 y^{2} + 8 x - 6 y + 4 = 0

x^{2} = 16 + y^{2}

e^{l n (y^{2} + 2)} = e^{l n (x^{2} + 4)}

144 x^{2} - 25 y^{2} = 169

What is (x^2}{140}-\frac{(y-6)^2)/4 =1 ?
The solution to (x^2}{140}-\frac{(y-6)^2)/4 =1 is Hyperbola with (h,k)=(0,6),a=2sqrt(35),b=2