What is 3x^2-2y^2=30 ?

The solution to 3x^2-2y^2=30 is Hyperbola with (h,k)=(0,0),a=sqrt(10),b=sqrt(15)

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3x^2-2y^2=30

3 x^{2} - 2 y^{2} = 30

(h, k) = (0, 0), a = 10, b = 15

Solution steps

3 x^{2} - 2 y^{2} = 30

Rewrite

3 x^{2} - 2 y^{2} = 30

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( 10 ) ^{2}} - \frac{( y - 0 ) ^{2}}{( 15 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 10, b = 15

3 x^{2} - 2 y^{2} = 36

y^{2} - 9 x^{2} - 36 x - 45 = 0

x^{2} - y^{2} - 4 x - 12 y + 15 = 0

3 x^{2} - 2 y^{2} = 12

\frac{- x ^{2}}{5} + \frac{y ^{2}}{7} = 1

What is 3x^2-2y^2=30 ?
The solution to 3x^2-2y^2=30 is Hyperbola with (h,k)=(0,0),a=sqrt(10),b=sqrt(15)