What is the answer to x+9=sqrt(x^2+4x+4) ?

The answer to x+9=sqrt(x^2+4x+4) is x=-11/2

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x+9=sqrt(x^2+4x+4)

x + 9 = x^{2} + 4 x + 4

x = - \frac{11}{2}

Decimal Notation

x = - 5.5

Solution steps

x + 9 = x^{2} + 4 x + 4

Square both sides:

x^{2} + 18 x + 81 = x^{2} + 4 x + 4

x^{2} + 18 x + 81 = x^{2} + 4 x + 4

Solve

x^{2} + 18 x + 81 = x^{2} + 4 x + 4 : x = - \frac{11}{2}

x = - \frac{11}{2}

Verify Solutions:

x = - \frac{11}{2}

True

The solution is

x = - \frac{11}{2}

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

y^{\frac{3}{2}} = 8

2 x + 3 - 3 = 0

4 = 4 - \frac{2 x ^{0}}{3}

3 x + 4 = 3 x + 4

What is the answer to x+9=sqrt(x^2+4x+4) ?
The answer to x+9=sqrt(x^2+4x+4) is x=-11/2
Solve for x: x+9=sqrt(x^2+4x+4)
The solution is x=-11/2