What is -3x^2+4y^2-6x-24y+21=0 ?

The solution to -3x^2+4y^2-6x-24y+21=0 is Hyperbola with (h,k)=(-1,3),a=sqrt(3),b=2

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-3x^2+4y^2-6x-24y+21=0

- 3 x^{2} + 4 y^{2} - 6 x - 24 y + 21 = 0

(h, k) = (- 1, 3), a = 3, b = 2

Solution steps

- 3 x^{2} + 4 y^{2} - 6 x - 24 y + 21 = 0

Rewrite

- 3 x^{2} + 4 y^{2} - 6 x - 24 y + 21 = 0

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (- 1, 3), a = 3, b = 2

12. 5^{2} = x^{2} - y^{2}

\frac{y ^{2}}{9} - x^{2} = 1

2 x^{2} + 16 x - (y + 6)^{2} = 0

2 xx - 3 yy = 13

\frac{( y - 5 ) ^{2}}{100} - \frac{( x + 1 ) ^{2}}{25} = 1

What is -3x^2+4y^2-6x-24y+21=0 ?
The solution to -3x^2+4y^2-6x-24y+21=0 is Hyperbola with (h,k)=(-1,3),a=sqrt(3),b=2