9514 1404 393
Answer:
(a) has complex solutions
Step-by-step explanation:
The values of a, b, c in the formula correspond to the coefficients of x^2, x, and the constant, respectively. Substitute these into the discriminant formula and do the arithmetic.
#1: a = 1, b = 2, c = 5.
d = b^2 -4ac = 2^2 -4(1)(5) = 4 -20 = -16 ⇒ complex solutions
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I find repetitive calculation is nicely done by a spreadsheet. The other discriminants are shown in the attachment.
