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June 20, 2020

Roots of Equation | PRMO 2017 | Question 19

Try this beautiful problem from the Pre-RMO, 2017 based on roots of equation.

Roots of equation - PRMO 2017

Suppose 1,2,3 are roots of the equation \(x^{4}+ax^{2}+bx=c\). Find the value of c.

  • is 107
  • is 36
  • is 840
  • cannot be determined from the given information

Key Concepts




Check the Answer

Answer: is 36.

PRMO, 2017, Question 19

Higher Algebra by Hall and Knight

Try with Hints

First hint

1,2,3 are the roots of \(x^{4}+ax^{2}+bx-c=0\)

Second Hint

since sum of roots=0 fourth root=-6 by using Vieta's formula

Final Step


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