What is 3x^2-y^2=25 ?

The solution to 3x^2-y^2=25 is Hyperbola with (h,k)=(0,0),a= 5/(sqrt(3)),b=5

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3x^2-y^2=25

3 x^{2} - y^{2} = 25

(h, k) = (0, 0), a = \frac{5}{3}, b = 5

Solution steps

3 x^{2} - y^{2} = 25

Rewrite

3 x^{2} - y^{2} = 25

in the form of a standard hyperbola equation

\frac{( x - 0 ) ^{2}}{( \frac{5}{3} ) ^{2}} - \frac{( y - 0 ) ^{2}}{5 ^{2}} = 1

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = \frac{5}{3}, b = 5

\frac{( y - 3 ) ^{2}}{169} - \frac{( x + 2 ) ^{2}}{81} = 1

4 y^{2} - 9 x^{2} = 1

x^{2} - \frac{1}{2} y^{2} - \frac{1}{2} y = 0

y^{2} - 5 x^{2} + 20 x = 50

\frac{( y + 2 ) ^{2}}{9} - \frac{( x + 4 ) ^{2}}{40} = 1

What is 3x^2-y^2=25 ?
The solution to 3x^2-y^2=25 is Hyperbola with (h,k)=(0,0),a= 5/(sqrt(3)),b=5