What is the answer to sqrt(x^2+3x+2)=x+2 ?

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

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sqrt(x^2+3x+2)=x+2

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

x = - 2

Solution steps

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

Square both sides:

x^{2} + 3 x + 2 = x^{2} + 4 x + 4

x^{2} + 3 x + 2 = x^{2} + 4 x + 4

Solve

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

x = - 2

Verify Solutions:

x = - 2

True

The solution is

x = - 2

x - 2 - x + 4 = 0

x^{2} - 12 = - x

3 x + 13 = x + 3

4 x + 1 - 9 x - 2 = - 1

x + 7 = x + 1

What is the answer to sqrt(x^2+3x+2)=x+2 ?
The answer to sqrt(x^2+3x+2)=x+2 is x=-2
Solve for x: sqrt(x^2+3x+2)=x+2
The solution is x=-2