What is (x^2)/4-(y^2)/(32)=1 ?

The solution to (x^2)/4-(y^2)/(32)=1 is Hyperbola with (h,k)=(0,0),a=2,b=4sqrt(2)

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(x^2)/4-(y^2)/(32)=1

\frac{x ^{2}}{4} - \frac{y ^{2}}{32} = 1

(h, k) = (0, 0), a = 2, b = 42

Solution steps

\frac{x ^{2}}{4} - \frac{y ^{2}}{32} = 1

Rewrite

\frac{x ^{2}}{4} - \frac{y ^{2}}{32} = 1

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 2, b = 42

16 x^{2} - 9 y^{2} - 32 x + 36 y + 124 = 0

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

- x^{2} + 9 y^{2} + 90 y + 189 = 0

\frac{( x ^{2} )}{625} - \frac{( y ^{2} )}{3600} = 1

\frac{x ^{2}}{16} - (y - 7)^{2} = 1

What is (x^2)/4-(y^2)/(32)=1 ?
The solution to (x^2)/4-(y^2)/(32)=1 is Hyperbola with (h,k)=(0,0),a=2,b=4sqrt(2)