Solve for x x^2+4=0

Problem

x2+4=0

Solution

1. Isolate the x2 term by subtracting 4 from both sides of the equation.

x2=−4

2. Apply the square root property to solve for x remembering to include both the positive and negative roots.

x=±√(,−4)

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

x=±√(,4)⋅√(,−1)

4. Evaluate the square root of 4 to find the final complex solutions.

x=±2*i

Final Answer

x=±2*i

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