Igcse Model Questions Vol1 2023 Mathematics Question 31

Practice objective / multiple choice question 31 from the 2023 Igcse Model Questions Vol1 Mathematics examination.

Igcse Model Questions Vol1 2023 Mathematics Objective / Multiple Choice Medium Difficulty

Question 31 IGCSE_MODEL_QUESTIONS_VOL1 • 2023 • MATHEMATICS • objective

The quadratic equation \(2x^{2}+bx+2=0\) has roots that are reciprocals of each other. If the sum of its coefficients is 10, find the value of \(b\) and the two roots of the equation.

Answer Options

A. b = 6; the roots are \(\frac{-3+\sqrt{7}}{2}\) and \(\frac{-3-\sqrt{7}}{2}\).

Correct Answer B. b = 6; the roots are \(\frac{-3+\sqrt{5}}{2}\) and \(\frac{-3-\sqrt{5}}{2}\).

C. b = 8; the roots are \(\frac{-4+\sqrt{3}}{2}\) and \(\frac{-4-\sqrt{3}}{2}\).

D. b = 4; the roots are \(\frac{-2+\sqrt{6}}{2}\) and \(\frac{-2-\sqrt{6}}{2}\).

Correct Answer

Correct Option:

b = 6; the roots are \(\frac{-3+\sqrt{5}}{2}\) and \(\frac{-3-\sqrt{5}}{2}\).

About This Question

This is Igcse Model Questions Vol1 2023 Mathematics Question 31. It is one of the objective questions from the 2023 Igcse Model Questions Vol1 Mathematics examination.

Difficulty level: Medium .

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