SOLUTION: A hyperbola has center (0,0) and 1 vertex A(√6,0) a) find the value of x if K(x,2) is on the hyperbola Thanks very much in advance:)

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: A hyperbola has center (0,0) and 1 vertex A(√6,0) a) find the value of x if K(x,2) is on the hyperbola Thanks very much in advance:)       Log On


   

Question 824656: A hyperbola has center (0,0) and 1 vertex A(√6,0)
a) find the value of x if K(x,2) is on the hyperbola
Thanks very much in advance:)
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x%5E2%2Fa%5E2-y%5E2%2Fb%5E2=1;
Vertex A gives sqrt%286%29%2Asqrt%286%29%2Fa%5E2-0%5E2%2Fb%5E2=1
6%2Fa%5E2=1
a=0%2B-+sqrt%286%29, just say highlight_green%28a=sqrt%286%29%29.

Now knowing equation is x%5E2%2F6-y%5E2%2Fb%5E2=1, do have enough information to find x when y is known as y=2? IF not, do you know any way to relate a and b? Will it help?