Solve for x (x+2)^2=-9

Problem

(x+2)2=−9

Solution

1. Take the square root of both sides of the equation to isolate the linear term.

√(,(x+2)2)=±√(,−9)

2. Simplify the square root of the negative number using the imaginary unit i where √(,−1)=i

x+2=±3*i

3. Isolate x by subtracting 2 from both sides of the equation.

x=−2±3*i

Final Answer

(x+2)2=−9⇒x=−2±3*i

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