Explanation:
To solve the equation √(2 - x) = √(2x - 7), we need to isolate the variable x. Follow these steps to find the solution:
Step 1: Square both sides of the equation to eliminate the square roots.
(√(2 - x))^2 = (√(2x - 7))^2
Step 2: Simplify both sides.
2 - x = 2x - 7
Step 3: Move the x terms to one side of the equation and constants to the other side.
2 + 7 = 2x + x
9 = 3x
Step 4: Divide both sides by 3 to solve for x.
x = 9/3
x = 3
So, the solution to the equation is x = 3.