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Popular >

3x=sqrt(3x+2)

Solution

3 x = 3 x + 2

Solution

x = \frac{2}{3}

+1

Decimal Notation

x = 0.66666 \dots

Solution steps

3 x = 3 x + 2

Square both sides:

9 x^{2} = 3 x + 2

9 x^{2} = 3 x + 2

Solve

9 x^{2} = 3 x + 2 : x = \frac{2}{3}, x = - \frac{1}{3}

x = \frac{2}{3}, x = - \frac{1}{3}

Verify Solutions:

x = \frac{2}{3}

True

, x = - \frac{1}{3}

False

The solution is

x = \frac{2}{3}

Popular Examples

x^{3} = α x

x + 1 = - 1

sqrt(x^2-1)+1=0

x^{2} - 1 + 1 = 0

sqrt(z)+sqrt(z-3)=sqrt(z+5)

z + z - 3 = z + 5

\frac{3}{x ^{\frac{1}{2}}} = 0

Frequently Asked Questions (FAQ)

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