What is the answer to sqrt(5x-2)-3=0 ?

The answer to sqrt(5x-2)-3=0 is x= 11/5

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sqrt(5x-2)-3=0

5 x - 2 - 3 = 0

x = \frac{11}{5}

Decimal Notation

x = 2.2

Solution steps

5 x - 2 - 3 = 0

Move

3

to the right side

5 x - 2 = 3

Square both sides:

5 x - 2 = 9

5 x - 2 = 9

Solve

5 x - 2 = 9 : x = \frac{11}{5}

x = \frac{11}{5}

Verify Solutions:

x = \frac{11}{5}

True

The solution is

x = \frac{11}{5}

x - 2 = 2 x - 1

x^{2} - x - 9 = x + 4

6 x + 17 = x + 3

28 - 9 x = x - 4

10 = (- 3 - 3)^{2} + (6 - y)^{2}