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If and are positive integers such that and are in A.P., then least possible value of is
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a
5
b
7
c
11
d
none of these
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Correct option is A
We have 2x=a+x+a−x⇒ 2x=2xa+x−a−x⇒a+x−a−x=xa+x+a-x-2a2-x2=x⇒2a-x=2a2-x2⇒4a2+x2-4ax=4a2-4x2⇒5x2=4ax∴ a=54xAs a and x are positive integers, least possible value of x is 4 and that of a is 5.Similar Questions
If and 1 are in A.P, then x is equal to
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