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MATHEMATICS

JAMB 2020 - Question 18

Mathematics 2020 JAMB Past Questions - Question 18: Three consecutive positive integers k, l m are such that l² = 3 ( k +m) find the range of the values of x

Choose the most appropriate option for the gap .

Three consecutive positive integers k, l m are such that l² = 3 ( k +m) find the range of the values of x

A: 4

B: 5

C: 6

D: 7

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Correct Answer

Explanation

k,l,mk, k+1, k+2 l² = 3 ( k + M) (k +1 ) ² = 3 k² - 4k – 5 = 0(k -5) (k+1) = 0K =5 or k = -1Since K is +ve k = 5 But m = k + 2 = 5+2 + 7