Neco 2023 Mathematics Question 21

Practice objective / multiple choice question 21 from the 2023 Neco Mathematics examination.

Neco 2023 Mathematics Objective / Multiple Choice Medium Difficulty
Question 21 NECO • 2023 • MATHEMATICS • objective

The quadratic equation \(x^{2} - kx + 12 = 0\) has two distinct positive integer roots whose product is 12. The sum of the squares of the roots is 85 and the difference between the roots is 7. Find the value of \(k\) and then compute \(\frac{1}{k} + \frac{1}{12}\).

Answer Options

Correct Answer A. k = 11, \frac{23}{132}
B. k = 12, \frac{25}{132}
C. k = 11, \frac{24}{132}
D. k = 10, \frac{23}{120}
Correct Answer
A
Correct Option:
k = 11, \frac{23}{132}

About This Question

This is Neco 2023 Mathematics Question 21. It is one of the objective questions from the 2023 Neco Mathematics examination.

Difficulty level: Medium .

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