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

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

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

2 x - 2 x + 1 = 1

x = \frac{3}{2}

Decimal Notation

x = 1.5

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 = \frac{3}{2}, x = 0

x = \frac{3}{2}, x = 0

Verify Solutions:

x = \frac{3}{2}

True

, x = 0

False

The solution is

x = \frac{3}{2}

10 x + 5 = 3 x - 1

15 - x = 4 - x + 6

16 x - x x = 0

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