Final answer:
To solve the equation √(6x - 3) = 2√x, you need to isolate x by following these steps: square both sides, expand the brackets, subtract 4x, add 3, and divide by 2.
Step-by-step explanation:
To find the solution to the equation √(6x - 3) = 2√x, we need to isolate x. Here are the steps:
- Square both sides of the equation to remove the square roots: (6x - 3) = 4x
- Expand the brackets: 6x - 3 = 4x
- Subtract 4x from both sides: 2x - 3 = 0
- Add 3 to both sides: 2x = 3
- Divide both sides by 2: x = 3/2
Therefore, the solution to the equation is x = 3/2.