What is 49x^2-36y^2=1764 ?

The solution to 49x^2-36y^2=1764 is Hyperbola with (h,k)=(0,0),a=6,b=7

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49x^2-36y^2=1764

49 x^{2} - 36 y^{2} = 1764

(h, k) = (0, 0), a = 6, b = 7

Solution steps

49 x^{2} - 36 y^{2} = 1764

Rewrite

49 x^{2} - 36 y^{2} = 1764

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{6 ^{2}} - \frac{( y - 0 ) ^{2}}{7 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 6, b = 7

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

\frac{x ^{2}}{14} - \frac{y ^{2}}{30} = 1

3 x + 2 x^{2} - 3 y - 2 y^{2} + 1 = 0

4 y^{2} - x^{2} - 40 y + 8 x + 80 = 0

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

What is 49x^2-36y^2=1764 ?
The solution to 49x^2-36y^2=1764 is Hyperbola with (h,k)=(0,0),a=6,b=7