First, let's simplify each side separately:
√x + 2√x - 1 = 3√x - 1
√x - 2√x - 1 = -√x - 1
Therefore, the equation becomes:
3√x - 1 - √x - 1 = 2
Combining like terms, we get:
2√x - 2 = 2
Adding 2 to both sides:
2√x = 4
Dividing by 2:
√x = 2
Square both sides to find x:
(√x)^2 = (2)^2
x = 4
So, the solution to the equation is x = 4.
First, let's simplify each side separately:
√x + 2√x - 1 = 3√x - 1
√x - 2√x - 1 = -√x - 1
Therefore, the equation becomes:
3√x - 1 - √x - 1 = 2
Combining like terms, we get:
2√x - 2 = 2
Adding 2 to both sides:
2√x = 4
Dividing by 2:
√x = 2
Square both sides to find x:
(√x)^2 = (2)^2
x = 4
So, the solution to the equation is x = 4.