Neco Model Questions Vol1 2024 Mathematics Question 38

Practice objective / multiple choice question 38 from the 2024 Neco Model Questions Vol1 Mathematics examination.

Neco Model Questions Vol1 2024 Mathematics Objective / Multiple Choice Medium Difficulty
Question 38 NECO_MODEL_QUESTIONS_VOL1 • 2024 • MATHEMATICS • objective

The quadratic equation \(x^{2} - bx + 12 = 0\) has roots whose squares sum to \(29\). Determine the positive value of \(b\) and then give the two roots of the equation in simplest radical form.

Answer Options

A. b = \sqrt{53}; roots = \frac{\sqrt{53} \pm \sqrt{7}}{2}
Correct Answer B. b = \sqrt{53}; roots = \frac{\sqrt{53} \pm \sqrt{5}}{2}
C. b = \sqrt{45}; roots = \frac{\sqrt{45} \pm \sqrt{5}}{2}
D. b = \sqrt{61}; roots = \frac{\sqrt{61} \pm \sqrt{5}}{2}
Correct Answer
B
Correct Option:
b = \sqrt{53}; roots = \frac{\sqrt{53} \pm \sqrt{5}}{2}

About This Question

This is Neco Model Questions Vol1 2024 Mathematics Question 38. It is one of the objective questions from the 2024 Neco Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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