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Please give me solution of this question plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

Please give me solution of this question plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

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1 Answers

Aditya Gupta
2081 Points
4 years ago
hello suraj, notice that u can write the given expression as
(a1*x + a2)^2 + (a2*x + a3)^2 + …....... + (a(n-1)*x + an)^2 is less than or equal to 0
since these are all square terms and hence positive (greater than or equal to 0), so this expression will have to be exactly 0.
or (a1*x + a2)^2 + (a2*x + a3)^2 + …....... + (a(n-1)*x + an)^2= 0
which is possible iff
a1*x + a2= 0, a2*x + a3= 0, …......., a(n-1)*x + an= 0
or, – x= a2/a1= a3/a2= …........= an/a(n-1)
which is obviously a GP (geometric progression) with common ratio of negative x.
kindly approve :)

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