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x2 + 100 has no real solutions. Applying the quadratic formula, we find two imaginary solutions: Zero plus or minus 10itimes the square root of 1.
x = 10i
x = -10i
where i is the square root of negative 1.
That doesn't factor neatly. Applying the quadratic formula, we find two imaginary solutions: (-1 plus or minus the square root of -31) divided by 2.
x = -0.5 + 2.7838821814150108i
x = -0.5 - 2.7838821814150108i
where i is the square root of negative one.
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