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

The answer to 3(x-sqrt(x)-2)=2-x+sqrt(x) is x=4

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3(x-sqrt(x)-2)=2-x+sqrt(x)

3 (x - x - 2) = 2 - x + x

x = 4

Solution steps

3 (x - x - 2) = 2 - x + x

Expand

3 (x - x - 2) : 3 x - 3 x - 6

3 x - 3 x - 6 = 2 - x + x

Move

3 x

to the right side

- 3 x - 6 = - 4 x + x + 2

Move

6

to the right side

- 3 x = x + 8 - 4 x

Move

x

to the left side

- 4 x = 8 - 4 x

Divide both sides by

- 4

x = - 2 + x

Square both sides:

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

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

Solve

x = 4 - 4 x + x^{2} : x = 4, x = 1

x = 4, x = 1

Verify Solutions:

x = 4

True

, x = 1

False

The solution is

x = 4

x + 2 + 2 x + 5 = 5

2 x + 2 - x + 8 = - 1

3 x + 8 = x + 2

y, y = x

4 x + 29 = x + 6

What is the answer to 3(x-sqrt(x)-2)=2-x+sqrt(x) ?
The answer to 3(x-sqrt(x)-2)=2-x+sqrt(x) is x=4
Solve for x: 3(x-sqrt(x)-2)=2-x+sqrt(x)
The solution is x=4