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

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

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x=sqrt(2x+1)

x = 2 x + 1

x = 1 + 2

Decimal Notation

x = 2.41421 \dots

Solution steps

x = 2 x + 1

Square both sides:

x^{2} = 2 x + 1

x^{2} = 2 x + 1

Solve

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

x = 1 + 2, x = 1 - 2

Verify Solutions:

x = 1 + 2

True

, x = 1 - 2

False

The solution is

x = 1 + 2

2 x - 3 - x + 7 = 0

(x) = \frac{1}{x + 9}

d + 7 = 3 4 d

(x - 3)^{\frac{2}{3}} = 64

x, z = x y