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

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

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sqrt(2x+1+1)=x

2 x + 1 + 1 = x

x = 1 + 3

Decimal Notation

x = 2.73205 \dots

Solution steps

2 x + 1 + 1 = x

Square both sides:

2 x + 2 = x^{2}

2 x + 2 = x^{2}

Solve

2 x + 2 = x^{2} : x = 1 + 3, x = 1 - 3

x = 1 + 3, x = 1 - 3

Verify Solutions:

x = 1 + 3

True

, x = 1 - 3

False

The solution is

x = 1 + 3

- \frac{5 x - 2}{3 x ^{\frac{1}{3}}} = 0

9 x + 1 = 8

4 + 5 x - 24 = x

5 x - 6 = 4

30 - a = a

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