Read the following information carefully and answer the questions given below. A set of natural numbers has to be formed that consists of six numbers,...

Question

Read the following information carefully and answer the questions given below. A set of natural numbers has to be formed that consists of six numbers, and the last number is 30. The first number of the set is the highest root of the given equation, and the second number of the set is (n+4) - 2n, where ‘n’ is the difference between the roots of the given equation. The third number of the set is (n+1)²– (n+1). The fourth number of the set is (n+2)² – (n+2). The fifth number of the set is (n+1)3(n+1)^3 – (n+5). (Note: x2x^2 – 14x + 48 = 0)

What is the HCF of the third and fourth numbers in the set?

Options

A.

12

B.

6

C.

2

D.

3

E.

4

hcfquadratic equationnumber setrootsalgebra

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