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

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

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

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

x = 0

Solution steps

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

Square both sides:

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

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

Solve

x^{2} + x + 1 = x^{2} + 2 x + 1 : x = 0

x = 0

Verify Solutions:

x = 0

True

The solution is

x = 0

5 + 2 x - 7 = x

4 x - 1 = 3

5 x - 4 - x = 2

19 x + 7 - 5 = x

x^{2} + 9 = 2 x - 3

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