A quadratic with real coefficients has as one root. Which quadratic is it, if the leading coefficient is ?

Answer and explanation

Correct answer: C.

  1. Step 1: Non-real roots come in conjugate pairs, so the roots are . Step 2. Sum and product , so . **Answer: . Why not the others:** 3+-2 are real numbers, not the roots; the sum of roots enters with a minus sign; the product is +13.

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