What is the answer to sqrt(3-2/3 w)+8=11 ?

The answer to sqrt(3-2/3 w)+8=11 is w=-9

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sqrt(3-2/3 w)+8=11

3 - \frac{2}{3} w + 8 = 11

w = - 9

Solution steps

3 - \frac{2}{3} w + 8 = 11

Move

8

to the right side

3 - \frac{2}{3} w = 3

Square both sides:

3 - \frac{2}{3} w = 9

3 - \frac{2}{3} w = 9

Solve

3 - \frac{2}{3} w = 9 : w = - 9

w = - 9

Verify Solutions:

w = - 9

True

The solution is

w = - 9

2 x + 13 = x + 5

x = x + 12

x + 20 = x

3 - x + x^{2} = x - 2

- 6 + \frac{x}{6} = - 3

What is the answer to sqrt(3-2/3 w)+8=11 ?
The answer to sqrt(3-2/3 w)+8=11 is w=-9
Solve for w: sqrt(3-2/3 w)+8=11
The solution is w=-9