What is the answer to x-1-2sqrt(x+1)=0 ?

The answer to x-1-2sqrt(x+1)=0 is x=3+2sqrt(3)

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x-1-2sqrt(x+1)=0

x - 1 - 2 x + 1 = 0

x = 3 + 23

Decimal Notation

x = 6.46410 \dots

Solution steps

x - 1 - 2 x + 1 = 0

Remove square roots

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

Solve

4 x + 4 = x^{2} - 2 x + 1 : x = 3 + 23, x = 3 - 23

x = 3 + 23, x = 3 - 23

Verify Solutions:

x = 3 + 23

True

, x = 3 - 23

False

The solution is

x = 3 + 23

(x - 2)^{\frac{2}{3}} + (x - 2)^{\frac{1}{3}} - 2 = 0

3 x - 27 = 0

x^{\frac{3}{2}} + (x^{2})^{- 2} + x^{3} = 4

- 3 x - 2 + 7 = 3

\frac{( x ^{0.7} + 7 x ) 5 + 3}{4} = 5

What is the answer to x-1-2sqrt(x+1)=0 ?
The answer to x-1-2sqrt(x+1)=0 is x=3+2sqrt(3)
Solve for x: x-1-2sqrt(x+1)=0
The solution is x=3+2sqrt(3)