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

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

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2x^2-3y^2=30

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

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

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

\frac{20}{x + y} + \frac{12}{x - y} = 5

- x^{2} + 9 y^{2} = 9

(x + i y)^{2} + (x - i y)^{2} = 2

\frac{( y - ( - 1 ) ) ^{2}}{3 ^{2}} - \frac{( x - ( - 2 ) ) ^{2}}{2 ^{2}} = 1

y^{2} = x^{2} + 25

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