Given that a focus of hyperbola x ^ 2 / A ^ 2-y ^ 2 = 1 coincides with the focus of parabola x = 1 / 8y ^ 2, what is the eccentricity of this hyperbola

Given that a focus of hyperbola x ^ 2 / A ^ 2-y ^ 2 = 1 coincides with the focus of parabola x = 1 / 8y ^ 2, what is the eccentricity of this hyperbola

If the parabolic equation is 8x = y ^ 2, then the parabolic focus is (2,0)
Since this focus is also hyperbolic focus, then C = 2, consider C ^ 2 = a ^ 2 + B ^ 2
Then a ^ 2 = C ^ 2-B ^ 2 = 4-1 = 3, a = root 3
E = C / a = 2 / radical 3