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Cubic Root Comparison (Posted on 2023-07-05) Difficulty: 3 of 5
Let P(x)=x3-4x2+39x-46 and Q(x)=x3+3x2+4x-3 be two polynomials.

1. Prove that each of P, Q has an unique real root. Let them be a, b respectively.
2. Prove that {a}>{b}2, where {x}=x-[x] is the fractional part of x.

No Solution Yet Submitted by Danish Ahmed Khan    
Rating: 5.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
No Subjectbrandon blak2023-07-28 11:23:02
Solutionwell it is a proof if you just solve itCharlie2023-07-06 17:41:53
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