Solve for x x=2 square root of x

Problem

x=2√(,x)

Solution

1. Identify the domain of the equation, which requires x≥0 because of the square root.

2. Square both sides of the equation to eliminate the radical.

x2=(2√(,x))2

3. Simplify the right side of the equation.

x2=4*x

4. Rearrange the equation into a standard quadratic form by subtracting 4*x from both sides.

x2−4*x=0

5. Factor out the greatest common factor, which is x

x*(x−4)=0

6. Apply the zero product property to find the potential solutions.

x=0

x−4=0⇒x=4

7. Verify the solutions in the original equation. For x=0 0=2√(,0) is true. For x=4 4=2√(,4) is true since 4 = 2(2)$.

Final Answer

x=0,4

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