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

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

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

2 2 x + 1 - 2 x = 1

x = \frac{3}{2}, x = - \frac{1}{2}

Decimal Notation

x = 1.5, x = - 0.5

Solution steps

2 2 x + 1 - 2 x = 1

Remove square roots

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

Solve

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

x = \frac{3}{2}, x = - \frac{1}{2}

Verify Solutions:

x = \frac{3}{2}

True

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

True

The solutions are

x = \frac{3}{2}, x = - \frac{1}{2}

x - 1 = 3

(x - 1)^{\frac{1}{2}} = (x - 3)

x + 1 + x - 1 = 2

x + 1 + x - 1 = 1

12 - x + 3 = 15

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