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Please give me solution of this question plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

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Suraj Kumar

6 Years agoGrade

1 Answer

Aditya Gupta

6 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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