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

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

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sqrt(x+1)=1+x/2

x + 1 = 1 + \frac{x}{2}

x = 0

Solution steps

x + 1 = 1 + \frac{x}{2}

Multiply both sides by

2

x + 1 \cdot 2 = 1 \cdot 2 + \frac{x}{2} \cdot 2

Simplify

x + 1 \cdot 2 = 2 + x

Square both sides:

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

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

Solve

4 x + 4 = 4 + 4 x + x^{2} : x = 0

x = 0

Verify Solutions:

x = 0

True

The solution is

x = 0

2 x + 40 = - 16 - 2 x

36 + x = 2 + x

1.7 = (\frac{2 ( 10.5 )}{x})

8 x - 1 + 4 = 8

x, x + 2 + x = 4