Solve the quadratic equation x2+16=0.Express its solutions in the form a ± bi.
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To solve the quadratic equation x^2 + 16 = 0, we can first subtract 16 from both sides:
x^2 = -16
Next, we can take the square root of both sides:
x = ±√(-16)
Since the square root of a negative number is not a real number, we can express the solutions in the form a ± bi, where a and b are real numbers.
Using the imaginary unit "i", which is defined as the square root of -1, we can simplify the square root of -16:
√(-16) = √(-1) * √(16) = 4i
Therefore, the solutions to the quadratic equation x^2 + 16 = 0 are:
x = 4i or x = -4i