What is (x^2)/3-(y^2)/5 =1 ?

The solution to (x^2)/3-(y^2)/5 =1 is Hyperbola with (h,k)=(0,0),a=sqrt(3),b=sqrt(5)

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(x^2)/3-(y^2)/5 =1

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

(h, k) = (0, 0), a = 3, b = 5

Solution steps

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

Rewrite

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

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

(h, k) = (0, 0), a = 3, b = 5

x^{2} + (5 - 6) y^{2} = 1

x^{2} + 11 = y^{2} + 4 x - 2 y

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

8^{2} + (x - 2)^{2} = y^{2}

- \frac{9}{5} + 2 x + x^{2} - \frac{6 y}{5} - \frac{y ^{2}}{5} = 0

What is (x^2)/3-(y^2)/5 =1 ?
The solution to (x^2)/3-(y^2)/5 =1 is Hyperbola with (h,k)=(0,0),a=sqrt(3),b=sqrt(5)