Solve for x square root of 8x-1=3

Problem

√(,8*x−1)=3

Solution

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

(√(,8*x−1))2=3

8*x−1=9

2. Add 1 to both sides of the equation to isolate the term containing x

8*x=9+1

8*x=10

3. Divide by 8 to solve for x

x=10/8

4. Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 2.

x=5/4

5. Verify the solution by substituting x=5/4 back into the original equation.

√(,8*(5/4)−1)=√(,10−1)=√(,9)=3

Final Answer

√(,8*x−1)=3⇒x=5/4

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