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

The answer to sqrt(2x)+2=x is x=3+sqrt(5)

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sqrt(2x)+2=x

2 x + 2 = x

x = 3 + 5

Decimal Notation

x = 5.23606 \dots

Solution steps

2 x + 2 = x

Remove square roots

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

Solve

2 x = x^{2} - 4 x + 4 : x = 3 + 5, x = 3 - 5

x = 3 + 5, x = 3 - 5

Verify Solutions:

x = 3 + 5

True

, x = 3 - 5

False

The solution is

x = 3 + 5

8 = a + a + 1

5 + x - 4 = 2

5 (35) = 5 x

3 x^{\frac{1}{2}} = 1

(\frac{x}{1 - x})^{- 0.6} = 1.45