Neco Model Questions Vol1 2023 Mathematics Question 30

Practice objective / multiple choice question 30 from the 2023 Neco Model Questions Vol1 Mathematics examination.

Neco Model Questions Vol1 2023 Mathematics Objective / Multiple Choice Medium Difficulty
Question 30 NECO_MODEL_QUESTIONS_VOL1 • 2023 • MATHEMATICS • objective

For the quadratic equation \( x^{2} - (k-1)x + k = 0 \) with real roots \(r_{1}\) and \(r_{2}\), the sum of the squares of the roots is known to be \(29\). Find all possible values of the parameter \(k\).

Answer Options

A. k = 2 + 2\sqrt{2} or k = 2 - 2\sqrt{2}
Correct Answer B. k = 2 + 4\sqrt{2} or k = 2 - 4\sqrt{2}
C. k = -2 + 4\sqrt{2} or k = -2 - 4\sqrt{2}
D. k = 2 + 4\sqrt{3} or k = 2 - 4\sqrt{3}
Correct Answer
B
Correct Option:
k = 2 + 4\sqrt{2} or k = 2 - 4\sqrt{2}

About This Question

This is Neco Model Questions Vol1 2023 Mathematics Question 30. It is one of the objective questions from the 2023 Neco Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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