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What is the solution to the equation: 𝑥^2 + 16 = 0 ?
  1. x=±4i
  2. x=±4
  3. x=±8
  4. None of these
Explanation

To solve the equation:

x2+16=0x^2 + 16 = 0

Step 1: Isolate x^2

x2=−16x^2 = -16

Step 2: Take the square root of both sides

x=±−16x = pm sqrt{-16}

Since −16sqrt{-16}

involves the square root of a negative number, we use imaginary numbers:

x=±4ix = pm 4ix=±4i

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