Neco Model Questions Vol1 2019 Mathematics Question 32

Practice objective / multiple choice question 32 from the 2019 Neco Model Questions Vol1 Mathematics examination.

Neco Model Questions Vol1 2019 Mathematics Objective / Multiple Choice Medium Difficulty
Question 32 NECO_MODEL_QUESTIONS_VOL1 • 2019 • MATHEMATICS • objective

The quadratic equation \(x^{2} - kx + 6 = 0\) has two distinct real roots \(r_{1}\) and \(r_{2}\). It is known that the arithmetic mean of the squares of the roots equals 10. Find the positive value of \(k\) and then evaluate \(r_{1}^{3} + r_{2}^{3}\).

Answer Options

A. 48\sqrt{2}
B. 56\sqrt{3}
C. 64\sqrt{2}
Correct Answer D. 56\sqrt{2}
Correct Answer
D
Correct Option:
56\sqrt{2}

About This Question

This is Neco Model Questions Vol1 2019 Mathematics Question 32. It is one of the objective questions from the 2019 Neco Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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