What is the answer to solvefor x,3sqrt(x-2)-8=8 ?

The answer to solvefor x,3sqrt(x-2)-8=8 is x= 274/9

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solvefor x,3sqrt(x-2)-8=8

x, 3 x - 2 - 8 = 8

x = \frac{274}{9}

Decimal Notation

x = 30.44444 \dots

Solution steps

3 x - 2 - 8 = 8

Move

8

to the right side

3 x - 2 = 16

Divide both sides by

3

x - 2 = \frac{16}{3}

Square both sides:

x - 2 = \frac{256}{9}

x - 2 = \frac{256}{9}

Solve

x - 2 = \frac{256}{9} : x = \frac{274}{9}

x = \frac{274}{9}

Verify Solutions:

x = \frac{274}{9}

True

The solution is

x = \frac{274}{9}

\frac{27}{x x} = x x

x^{2} = 5

x^{2} = 0

16 - 6 x = x

- 48 + 14 x = x

What is the answer to solvefor x,3sqrt(x-2)-8=8 ?
The answer to solvefor x,3sqrt(x-2)-8=8 is x= 274/9