What is 16x^2-4y^2=49 ?

The solution to 16x^2-4y^2=49 is Hyperbola with (h,k)=(0,0),a= 7/4 ,b= 7/2

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16x^2-4y^2=49

16 x^{2} - 4 y^{2} = 49

(h, k) = (0, 0), a = \frac{7}{4}, b = \frac{7}{2}

Solution steps

16 x^{2} - 4 y^{2} = 49

Rewrite

16 x^{2} - 4 y^{2} = 49

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( \frac{7}{4} ) ^{2}} - \frac{( y - 0 ) ^{2}}{( \frac{7}{2} ) ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{7}{4}, b = \frac{7}{2}

16 x^{2} - 9 y^{2} - 36 y = 108

x^{2} + y^{2} - 8 x^{2} + 7 = 0

16 x^{2} - 4 y^{2} = 64

(24 - x^{2}) + (4 - y)^{2} = \frac{x ^{2} + ( y + 3 ) ^{2}}{2 3 ^{2}}

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

What is 16x^2-4y^2=49 ?
The solution to 16x^2-4y^2=49 is Hyperbola with (h,k)=(0,0),a= 7/4 ,b= 7/2