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1) Show That There Is No Positive Integer x for Which 3x = x3 + 3x2 + 2x + 1. 2) One member of an infinite arithmetic sequence in the set of natural numbers is a perfect square. Show that there are infinitely many members of this sequence having this property.


1) Show That There Is No Positive Integer x for Which 3x = x3 + 3x2 + 2x + 1.
2) One member of an infinite arithmetic sequence in the set of natural  numbers is a  perfect square. Show that there are infinitely many members of this sequence having this property.

Grade:8

1 Answers

Saurabh Koranglekar
askIITians Faculty 10341 Points
one year ago

Solutions for x:
x1= -3.38298
x2= 0.19149 + i * 0.50885
x3= 0.19149 - i * 0.50885


The roots for the given equation has only 1 real root which is negetive

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