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

The answer to sqrt(3x+1)-sqrt(x-1)=2 is x=5,x=1

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

3 x + 1 - x - 1 = 2

x = 5, x = 1

Solution steps

3 x + 1 - x - 1 = 2

Remove square roots

4 x^{2} - 8 x + 4 = 16 x - 16

Solve

4 x^{2} - 8 x + 4 = 16 x - 16 : x = 5, x = 1

x = 5, x = 1

Verify Solutions:

x = 5

True

, x = 1

True

The solutions are

x = 5, x = 1

2 x + 3 + x - 2 = 2

3 - 2 x = x

x^{\frac{3}{2}} = 8

4 x = x - 3

x = 4

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