Radical Equations Quiz

Answer explanation

To solve the equation, square both sides to get x + 3 = 49. Then, solve for x to get x = 49. Therefore, the correct answer is x = 49.

Answer explanation

To solve the equation, first add 3 to both sides to isolate the square root term. Then square both sides to eliminate the square root. Solve for x to get x = 4.

Answer explanation

To solve the equation, first isolate the square root term by subtracting 2 from both sides. Then, square both sides to eliminate the square root. Solve for x to get x = 3.

Answer explanation

To solve the equation, square both sides to eliminate the square roots. This gives x + x - 4 + 2√(x(x-4)) = 25. Simplify to get 2x - 4 + 2√(x^2-4x) = 25. Solving further gives x = 16.

Answer explanation

To solve the radical equation, square both sides to eliminate the square root. This gives 5x + 20 = x^2. Rearrange to get x^2 - 5x - 20 = 0, which factors to (x - 5)(x + 4) = 0. Therefore, x = 5 or x = -4. The correct solution is x = 4.

Answer explanation

To solve the equation, square both sides to get rid of the square roots. This simplifies to 2x + 6 = x + 2. Solving for x gives x = 4, which is the correct answer.

Answer explanation

To solve the equation, square both sides to get x^2 - 9 = x^2 - 6x + 9. Simplify to get 6x = 18, then x = 3.

Answer explanation

To solve the equation, we isolate one square root term, square both sides, and solve for x. By doing this, we find x = 3 as the correct solution.

Answer explanation

To solve the equation, square both sides to get rid of the square root. This gives 9x + 18 = 9x. Simplify to find x = 2, which is the correct answer.

Answer explanation

To solve the equation, square both sides to eliminate the square roots. Simplify to get x = 10, which is the correct choice.