Find the set of values of for which the equation has real roots.

Answer and explanation

Correct answer: D.

  1. Step 1: Real roots need the discriminant , so . Step 2. , which holds outside the two roots: or . **Answer: . Why not the others:** : That is the range for which there are no real roots, where the discriminant is negative. : That uses instead of , so the boundaries are wrong. : That compares with instead of comparing with .

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