What is the answer to sqrt(3x+1)=x ?

The answer to sqrt(3x+1)=x is x=(3+sqrt(13))/2

Solve for x: sqrt(3x+1)=x

The solution is x=(3+sqrt(13))/2

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3 x + 1 = x

x = \frac{3 + 13}{2}

Decimal Notation

x = 3.30277 \dots

Solution steps

3 x + 1 = x

Square both sides:

3 x + 1 = x^{2}

3 x + 1 = x^{2}

Solve

3 x + 1 = x^{2} : x = \frac{3 + 13}{2}, x = \frac{3 - 13}{2}

x = \frac{3 + 13}{2}, x = \frac{3 - 13}{2}

Verify Solutions:

x = \frac{3 + 13}{2}

True

, x = \frac{3 - 13}{2}

False

The solution is

x = \frac{3 + 13}{2}

- x = x - 2

x + 2 = x + 13

x + 16 - 4 = x

2 x + 16 = 1 - x

What is the answer to sqrt(3x+1)=x ?
The answer to sqrt(3x+1)=x is x=(3+sqrt(13))/2
Solve for x: sqrt(3x+1)=x
The solution is x=(3+sqrt(13))/2