What is (x^2)/(49)-(y^2)/(44)=1 ?

The solution to (x^2)/(49)-(y^2)/(44)=1 is Hyperbola with (h,k)=(0,0),a=7,b=2sqrt(11)

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(x^2)/(49)-(y^2)/(44)=1

\frac{x ^{2}}{49} - \frac{y ^{2}}{44} = 1

(h, k) = (0, 0), a = 7, b = 211

Solution steps

\frac{x ^{2}}{49} - \frac{y ^{2}}{44} = 1

Rewrite

\frac{x ^{2}}{49} - \frac{y ^{2}}{44} = 1

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{7 ^{2}} - \frac{( y - 0 ) ^{2}}{( 2 11 ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 7, b = 211

x^{2} - y^{2} = 640

- \frac{1}{2} (\frac{x ^{2}}{2} - 100 x) + C = - 3 y^{2} + 150 y + C

\frac{( ( x - 3 ) ^{2} )}{16} - \frac{( ( y + 1 ) ^{2} )}{4} < 1

9 x^{2} - 4 y^{2} - 36 x - 16 x + 20 = 0

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

What is (x^2)/(49)-(y^2)/(44)=1 ?
The solution to (x^2)/(49)-(y^2)/(44)=1 is Hyperbola with (h,k)=(0,0),a=7,b=2sqrt(11)