suspect you mean
a^2 -2 a sqrt 3 = -2
half of 2 sqrt 3 squared is 3 so add 3 to both sides
a^2 -2 a sqrt 3 + 3 = 1
(a-sqrt 3)^2 = 1
a = sqrt 3 +/-1
Solve by completing the square.
a² - 2√(3a) + 2 = 0
Solve for x. I don't know if you can use completing the square for this problem.
ax^n + b = 0
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