Question

What is the solution of √√x+12 = x?

O x = -3
OOO
x = 4
x = -3 or x = 4
no solution

Answer 1

The solution to the equation √√x+12 = x is x = 4 or x = -3.

Step-by-step explanation:

To find the solution of the equation √√x+12 = x, we need to isolate the variable x. Let's go step by step:

1. Start by squaring both sides of the equation to eliminate the square roots: (√√x+12)² = x²
2. Next, simplify the left side of the equation: (√√x+12)² = (√x+12)² = (x+12) = x²
3. Now we have a quadratic equation, so set it equal to zero: x² - (x+12) = 0
4. Rearrange the equation: x² - x - 12 = 0
5. Factor the quadratic equation: (x - 4)(x + 3) = 0
6. Set each factor equal to zero to find the possible values for x: x - 4 = 0 or x + 3 = 0
7. Solve for x: x = 4 or x = -3

Therefore, the solution to the equation √√x+12 = x is x = 4 or x = -3.

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