What is 2xx-3yy=-1214 ?

The solution to 2xx-3yy=-1214 is Hyperbola with (h,k)=(0,0),a=sqrt(1214/3),b=sqrt(607)

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2xx-3yy=-1214

2 xx - 3 yy = - 1214

(h, k) = (0, 0), a = \frac{1214}{3}, b = 607

Solution steps

2 xx - 3 yy = - 1214

Rewrite

2 xx - 3 yy = - 1214

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{( \frac{1214}{3} ) ^{2}} - \frac{( x - 0 ) ^{2}}{( 607 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{1214}{3}, b = 607

3 x^{2} - 6 x - 4 y^{2} = 9

9 x^{2} - 16 y^{2} = 64

\frac{x ^{2}}{25} - \frac{y ^{2}}{49} = 1

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

(y + 1)^{2} - x^{2} = 8

What is 2xx-3yy=-1214 ?
The solution to 2xx-3yy=-1214 is Hyperbola with (h,k)=(0,0),a=sqrt(1214/3),b=sqrt(607)