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

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

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

3 x - 1 + 3 x + 1 = 2

x = 1

Solution steps

3 x - 1 + 3 x + 1 = 2

Remove square roots

36 x^{2} - 168 x + 196 = 48 x + 16

Solve

36 x^{2} - 168 x + 196 = 48 x + 16 : x = 5, x = 1

x = 5, x = 1

Verify Solutions:

x = 5

False

, x = 1

True

The solution is

x = 1

x + 7 = x^{2} + 5

3 x + 6 - x + 3 = 1

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

- x + 30 = x

3 - x = x + 7 + 2

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