X^2+18x+81=0 use factorization to solve for the
roots of the equation.
We can start by recognizing that the expression X^2+18x+81 is in the form of a perfect square trinomial, specifically (x+9)^2. Therefore, the equation can be rewritten as:
(x+9)^2 = 0
Taking the square root of both sides gives:
x+9 = 0
Solving for x, we subtract 9 from both sides:
x = -9
Therefore, the only root of the equation is x = -9.