Solve for x 5 = square root of 4x-3

Problem

5=√(,4*x−3)

Solution

1. Square both sides of the equation to eliminate the square root.

5=(√(,4*x−3))2

2. Simplify the resulting terms.

25=4*x−3

3. Add 3 to both sides of the equation to isolate the term containing x

25+3=4*x

28=4*x

4. Divide by 4 to solve for x

x=28/4

x=7

5. Verify the solution by substituting x=7 back into the original equation.

√(,4*(7)−3)=√(,28−3)

√(,25)=5

Final Answer

x=7

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