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

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

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2sqrt(x+1)=x

2 x + 1 = x

x = 2 (1 + 2)

Decimal Notation

x = 4.82842 \dots

Solution steps

2 x + 1 = x

Square both sides:

4 x + 4 = x^{2}

4 x + 4 = x^{2}

Solve

4 x + 4 = x^{2} : x = 2 (1 + 2), x = 2 (1 - 2)

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

Verify Solutions:

x = 2 (1 + 2)

True

, x = 2 (1 - 2)

False

The solution is

x = 2 (1 + 2)

x - 7 x = 0

5 t + 9 = - 7

0 = 4 x - x^{2}

- 3 = - - 4^{2} + c

x + 7 x + 10 = 0

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