Final answer:
To solve the given equation involving a square root, we need to square both sides, rearrange, and find the solutions to the resulting quadratic equation.
Step-by-step explanation:
To solve the equation √(1-3x) = x+3, we need to isolate the square root term by squaring both sides of the equation. This gives us 1-3x = (x+3)2. Expanding the right side, we get 1-3x = x2 + 6x + 9. Rearranging the equation, we have x2 + 9x + 8 = 0.
We can solve this quadratic equation by factoring or by using the quadratic formula. When factoring, we find that (x+1)(x+8) = 0, which gives us two possible solutions: x = -1 or x = -8. These are the solutions to the original equation.
Learn more about Solving quadratic equations involving square roots