What is the solution to the equation: 𝑥^2 + 16 = 0 ?
Explanation
Explanation
To solve the equation:
x 2 + 16 = 0 x^2 + 16 = 0 Step 1: Isolate x^2
x 2 = − 16 x^2 = -16 Step 2: Take the square root of both sides
x = ± − 16 x = pm sqrt{-16} Since − 16 sqrt{-16} − 1 involves the square root of a negative number, we use imaginary numbers :
x = ± 4 i x = pm 4i x = ± 4 i
