Answer:
The equation X = √(-X + 6) can be solved using algebraic manipulation. Here are the steps:
Square both sides of the equation to eliminate the square root:
X^2 = -X + 6
Add X to both sides of the equation:
X^2 + X = 6
Rearrange the equation in standard quadratic form:
X^2 + X - 6 = 0
Factor the quadratic equation:
(X + 3)(X - 2) = 0
Use the zero product property to solve for X:
X + 3 = 0 or X - 2 = 0
X = -3 or X = 2
Explanation: