Multiple choice

Match the columns: Quadratic Equation Relation Between Roots 1. a2 - 3a – 40 = 0 A. The mean of both roots is -1. 2. b2 + 12b + 32 = 0 B. One root is double the other. 3. c2 + 2c – 120 = 0 C. If we add both roots, the sum is 3.

  1. 1 - A, 2 - B, 3 - C

  2. 1 - C, 2 - B, 3 - A

  3. 1 - A, 2 - C, 3 - B

  4. 1 - B, 2 - A, 3 - C

  5. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
AI explanation

Using Vieta's formulas, the sum of the roots of the first equation a squared minus three a minus forty equals zero is three, which matches relation C. The second equation b squared plus twelve b plus thirty two equals zero has roots of negative four and negative eight, so one root is double the other, matching relation B. The third equation c squared plus two c minus one hundred twenty equals zero has a sum of roots equal to negative two, meaning their mean is negative one, matching relation A; therefore, the correct sequence is one to C, two to B, and three to A.

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