If x = √[(2 + √3)/(2 - √3)], then determine the value of x² + x - 9.

(2 + √3)/(2 - √3) = (2 + √3)², so x = 2 + √3. Then x² + x - 9 = (7 + 4√3) + (2 + √3) - 9 = 5√3. (Verified against the official SSC answer key.)