What is the answer to sqrt(4x+1)-sqrt(x-1)=2 ?

The answer to sqrt(4x+1)-sqrt(x-1)=2 is x=2,x= 10/9

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sqrt(4x+1)-sqrt(x-1)=2

4 x + 1 - x - 1 = 2

x = 2, x = \frac{10}{9}

Decimal Notation

x = 2, x = 1.11111 \dots

Solution steps

4 x + 1 - x - 1 = 2

Remove square roots

9 x^{2} - 12 x + 4 = 16 x - 16

Solve

9 x^{2} - 12 x + 4 = 16 x - 16 : x = 2, x = \frac{10}{9}

x = 2, x = \frac{10}{9}

Verify Solutions:

x = 2

True

, x = \frac{10}{9}

True

The solutions are

x = 2, x = \frac{10}{9}

x, x y = 10

16 - 5 x = x - 2

x + 5 x = 2 x + 1

x^{0.5} = 3.118

0 = 4 x^{2}

What is the answer to sqrt(4x+1)-sqrt(x-1)=2 ?
The answer to sqrt(4x+1)-sqrt(x-1)=2 is x=2,x= 10/9
Solve for x: sqrt(4x+1)-sqrt(x-1)=2
The solution is x=2,x= 10/9