Answer:
[tex]\frac{x^2}{4}-\frac{y^2}{25} =1[/tex]
Step-by-step explanation:
we are given
center =(0,0)
we can compare with
center=(h,k)=(0,0)
so, h=0 and k=0
a=2 and b=5
now, we can use equation of hyperbola formula
[tex]\frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2} =1[/tex]
now, we can plug values
[tex]\frac{(x-0)^2}{2^2}-\frac{(y-0)^2}{5^2} =1[/tex]
we can simplify it
and we get equation of hyperbola as
[tex]\frac{x^2}{4}-\frac{y^2}{25} =1[/tex]
