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

The answer to 2x-sqrt(2x-1)=1 is x=1,x= 1/2

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

2 x - 2 x - 1 = 1

x = 1, x = \frac{1}{2}

Solution steps

2 x - 2 x - 1 = 1

Remove square roots

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

Solve

2 x - 1 = 1 - 4 x + 4 x^{2} : x = 1, x = \frac{1}{2}

x = 1, x = \frac{1}{2}

Verify Solutions:

x = 1

True

, x = \frac{1}{2}

True

The solutions are

x = 1, x = \frac{1}{2}

x + 6 + x = 6

x + 2 + 4 = 6 - 2 - x

3 x = x + 6

x = 13

x = - 7

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