SOLUTION: 1)Use the Cauchy - Schwarz inequality to solve x3 ─ 25x2 ─ 4x + 100 = 0, given that all its roots are rational. (5 Marks
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Question 408068: 1)Use the Cauchy - Schwarz inequality to solve x3 ─ 25x2 ─ 4x + 100 = 0, given that all its roots are rational. (5 Marks
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
I don't really see how the Cauchy-Schwarz inequality applies to this problem...from what I know, the Cauchy-Schwarz inequality says that for positive numbers and , ,
.
The best way is to factor out, leaving
From here, it is apparent that x = 25, -2, or 2.
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