Neco Model Questions Vol1 2025 Mathematics Question 35

Practice objective / multiple choice question 35 from the 2025 Neco Model Questions Vol1 Mathematics examination.

Neco Model Questions Vol1 2025 Mathematics Objective / Multiple Choice Medium Difficulty
Question 35 NECO_MODEL_QUESTIONS_VOL1 • 2025 • MATHEMATICS • objective

The quadratic equation \(x^{2} - kx + c = 0\) has two distinct positive integer roots. The sum of the squares of the roots equals \(65\). Determine all possible values of \(k\) and the corresponding pair of roots.

Answer Options

A. k = 12 with roots 5 and 7; k = 14 with roots 6 and 8
Correct Answer B. k = 9 with roots 1 and 8; k = 11 with roots 4 and 7
C. k = 9 with roots 2 and 7; k = 11 with roots 3 and 8
D. k = 8 with roots 1 and 7; k = 10 with roots 3 and 7
Correct Answer
B
Correct Option:
k = 9 with roots 1 and 8; k = 11 with roots 4 and 7

About This Question

This is Neco Model Questions Vol1 2025 Mathematics Question 35. It is one of the objective questions from the 2025 Neco Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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