What is 16.99y^2=32+15.93x^2 ?

The solution to 16.99y^2=32+15.93x^2 is Hyperbola with (h,k)=(0,0),a=1.37239…,b=1.41731…

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16.99y^2=32+15.93x^2

16.99 y^{2} = 32 + 15.93 x^{2}

(h, k) = (0, 0), a = 1.37239 \dots, b = 1.41731 \dots

Solution steps

16.99 y^{2} = 32 + 15.93 x^{2}

Rewrite

16.99 y^{2} = 32 + 15.93 x^{2}

in the form of a standard hyperbola equation

\frac{( y - 0 ) ^{2}}{1.37239 \dots ^{2}} - \frac{( x - 0 ) ^{2}}{1.41731 \dots ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 1.37239 \dots, b = 1.41731 \dots

25 x^{2} - 200 x - 9 y^{2} + 36 y = 139

\frac{( y - 5 ) ^{2}}{16} - \frac{( x + 4 ) ^{2}}{4} = 1

- 4 x^{2} + 56 x + y^{2} - 188 = 0

(\frac{y - 1}{4})^{2} - (\frac{x - 3}{9})^{2} = 1

4 x^{2} - 9 y^{2} + 144 = 0

What is 16.99y^2=32+15.93x^2 ?
The solution to 16.99y^2=32+15.93x^2 is Hyperbola with (h,k)=(0,0),a=1.37239…,b=1.41731…