What is -3x^2+2y^2+6x+8y=-15 ?

The solution to -3x^2+2y^2+6x+8y=-15 is Hyperbola with (h,k)=(1,-2),a=sqrt(10/3),b=sqrt(5)

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

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

(h, k) = (1, - 2), a = \frac{10}{3}, b = 5

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

\frac{( x - 1 ) ^{2}}{( \frac{10}{3} ) ^{2}} - \frac{( y - ( - 2 ) ) ^{2}}{( 5 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (1, - 2), a = \frac{10}{3}, b = 5

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

3 x^{2} - 4 y^{2} + 16 y - 18 = 0

What is -3x^2+2y^2+6x+8y=-15 ?
The solution to -3x^2+2y^2+6x+8y=-15 is Hyperbola with (h,k)=(1,-2),a=sqrt(10/3),b=sqrt(5)