What is the answer to sqrt(2x-5)-3=3 ?

The answer to sqrt(2x-5)-3=3 is x= 41/2

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sqrt(2x-5)-3=3

2 x - 5 - 3 = 3

x = \frac{41}{2}

Decimal Notation

x = 20.5

Solution steps

2 x - 5 - 3 = 3

Move

3

to the right side

2 x - 5 = 6

Square both sides:

2 x - 5 = 36

2 x - 5 = 36

Solve

2 x - 5 = 36 : x = \frac{41}{2}

x = \frac{41}{2}

Verify Solutions:

x = \frac{41}{2}

True

The solution is

x = \frac{41}{2}

2 x - 1 = 4 - x

w^{2} - 20 - 2 = 2

x, 2 x + y - 3 z = 5

x - 5 = 2 x - 5

(x - 4)^{\frac{5}{2}} = 32