What is the answer to sqrt(3x-1)=2x-5 ?

The answer to sqrt(3x-1)=2x-5 is x=(23+sqrt(113))/8

Solve for x: sqrt(3x-1)=2x-5

The solution is x=(23+sqrt(113))/8

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3 x - 1 = 2 x - 5

x = \frac{23 + 113}{8}

Decimal Notation

x = 4.20376 \dots

Solution steps

3 x - 1 = 2 x - 5

Square both sides:

3 x - 1 = 4 x^{2} - 20 x + 25

3 x - 1 = 4 x^{2} - 20 x + 25

Solve

3 x - 1 = 4 x^{2} - 20 x + 25 : x = \frac{23 + 113}{8}, x = \frac{23 - 113}{8}

x = \frac{23 + 113}{8}, x = \frac{23 - 113}{8}

Verify Solutions:

x = \frac{23 + 113}{8}

True

, x = \frac{23 - 113}{8}

False

The solution is

x = \frac{23 + 113}{8}

x - 3 = x - 9

4 - 3 x + 1 = 0

4 - x = 7

2 x - 1 - x = - 8

What is the answer to sqrt(3x-1)=2x-5 ?
The answer to sqrt(3x-1)=2x-5 is x=(23+sqrt(113))/8
Solve for x: sqrt(3x-1)=2x-5
The solution is x=(23+sqrt(113))/8