Final answer:
The solution to the equation √1-3x = x + 3 is x = -2.
Step-by-step explanation:
The given equation is √1-3x = x + 3. To solve for x, we need to isolate the variable on one side of the equation. Let's begin by subtracting x from both sides:
√1-3x - x = x + 3 - x
√1-4x = 3
To eliminate the square root, we square both sides of the equation:
(√1-4x)^2 = 3^2
1-4x = 9
Next, we solve for x:
-4x = 9 - 1
-4x = 8
x = 8/-4
x = -2
Therefore, x = -2 is the solution to the equation.
Learn more about Solving equations involving square roots