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Olympiad workbook
Exam
Olympiad workbook
Subject
IOQM
Chapter
Quadratic Equation

Olympiad workbook · IOQM · Quadratic Equation

Suppose 1,2,3 are the roots of the equation x^4+a x^2+b x=c . Find...

Suppose 1,2,31,2,3 are the roots of the equation x4+ax2+bx=cx^4+a x^2+b x=c. Find the value of cc.

Correct answer

36

Step-by-step solution

1,2,31,2,3 are roots of x4+ax2+bx−c=0x^4+a x^2+b x-c=0 since sum of roots is zero and fourth root is -6 Hence c=36\mathrm{c}=36
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