What is the answer to sqrt(3x-1)=(x-1)/2 ?

The answer to sqrt(3x-1)=(x-1)/2 is x=7+2sqrt(11)

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sqrt(3x-1)=(x-1)/2

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

x = 7 + 211

Decimal Notation

x = 13.63324 \dots

Solution steps

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

Multiply both sides by

2

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

Simplify

3 x - 1 \cdot 2 = x - 1

Square both sides:

12 x - 4 = x^{2} - 2 x + 1

12 x - 4 = x^{2} - 2 x + 1

Solve

12 x - 4 = x^{2} - 2 x + 1 : x = 7 + 211, x = 7 - 211

x = 7 + 211, x = 7 - 211

Verify Solutions:

x = 7 + 211

True

, x = 7 - 211

False

The solution is

x = 7 + 211

3 x + 10 = 4

(x + 7)^{\frac{2}{3}} = 4

5 - x = 3

2 + x - 1 = \frac{x}{2}

What is the answer to sqrt(3x-1)=(x-1)/2 ?
The answer to sqrt(3x-1)=(x-1)/2 is x=7+2sqrt(11)
Solve for x: sqrt(3x-1)=(x-1)/2
The solution is x=7+2sqrt(11)