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Post-UTME Mathematics 2013 Objective — Question 59

Question 59 of 100 from the Post-UTME Screening (Post-UTME) Mathematics 2013 Objective paper, with the correct answer and a full explanation.

If α and β are the roots of the equation 2x²-3x-9=0, find 1/α+1/β

A. -1/3Correct
B. 2/3
C. 3
D. 1/3

Explanation

α+β=3/2, αβ=-9/2. 1/α+1/β=(α+β)/(αβ)=(3/2)/(-9/2)=-1/3.

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