Peter R. answered 07/22/22
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Experienced Instructor in Prealgebra, Algebra I and II, SAT/ACT Math.
The discriminant reveals the number and type of solutions. b2 - 4ac -> (-6)2 - 4(1)(2) = 36 - 8 = 28.
Since the result is >0, there are two unequal, real solutions.