The solution to 2xx-3yy=13 is Hyperbola with (h,k)=(0,0),a=sqrt(13/2),b=sqrt(13/3)

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2xx-3yy=13

Solution

2 xx - 3 yy = 13

(h, k) = (0, 0), a = \frac{13}{2}, b = \frac{13}{3}

Solution steps

2 xx - 3 yy = 13

Rewrite

2 xx - 3 yy = 13

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( \frac{13}{2} ) ^{2}} - \frac{( y - 0 ) ^{2}}{( \frac{13}{3} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{13}{2}, b = \frac{13}{3}

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

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

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

x^{2} - 6 x - 9 y^{2} - 54 y - 81 = 0

\frac{( x - 4 ) ^{2}}{9} - \frac{( y - 4 ) ^{2}}{4} = 1

What is 2xx-3yy=13 ?
The solution to 2xx-3yy=13 is Hyperbola with (h,k)=(0,0),a=sqrt(13/2),b=sqrt(13/3)