Solve for x (2x-1)^2=8

Problem

(2*x−1)^2=8

Solution

1. Apply the square root property to both sides of the equation to isolate the linear expression.

√(,(2*x−1)^2)=±√(,8)

2. Simplify the radical on the right side by factoring out the largest perfect square.

2*x−1=±2√(,2)

3. Isolate the term with x by adding 1 to both sides of the equation.

2*x=1±2√(,2)

4. Solve for x by dividing the entire equation by 2.

x=(1±2√(,2))/2

Final Answer

(2*x−1)^2=8⇒x=(1±2√(,2))/2

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