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Popular >

x^2-5y^2=3

Solution

x^{2} - 5 y^{2} = 3

Solution

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

Solution steps

x^{2} - 5 y^{2} = 3

Rewrite

x^{2} - 5 y^{2} = 3

in the form of a standard hyperbola equation

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

Therefore Hyperbola properties are:

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

Popular Examples

((y+5)^2)/(100)-((x-4)^2)/(121)=1

\frac{( y + 5 ) ^{2}}{100} - \frac{( x - 4 ) ^{2}}{121} = 1

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

8y^2-x^2-16y+8x-16=0

8 y^{2} - x^{2} - 16 y + 8 x - 16 = 0

9x^2+36x-4y^2-16y-16=0

9 x^{2} + 36 x - 4 y^{2} - 16 y - 16 = 0

x^{(2)}-y^{(2)}=10(x-y)+1

x^{(2)} - y^{(2)} = 10 (x - y) + 1

Frequently Asked Questions (FAQ)

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