If there is an intersection (2,4) between the straight line y = 2x and the hyperbola y = 8 / x, then their other intersection is?

If there is an intersection (2,4) between the straight line y = 2x and the hyperbola y = 8 / x, then their other intersection is?

f(-2)=(-2)^5-a(-2)^3-2b-8=10
-2^5+a*2^3-2b=18
-(2^5-a*2^3+2b)=18
2^5-a*2^3+2b=-18
f(2)=2^5-a*2^3+2b-8=-26
The domain of even functions is symmetric about the origin
So 2a-3 = - 1, a = 1
Even functions are symmetric about the Y axis
That is, the axis of symmetry is x = 0
So x = - B / (2a) = 0
So a = 1, B = 0