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let x1>x2>x3>x4>x5>x6>0, and A= x1+x2+.......+x6 B= x1x3+x3x5+x1x5+x2x4+x2x6+x4x6 C= x1x3x5+x2x4x6, then the equation 2x^3 - Ax^2 + Bx - C = 0 has 1. exactly one real root 2. three positive roots 3. three negative roots 4. none of these

let  x1>x2>x3>x4>x5>x6>0, and


A= x1+x2+.......+x6


B= x1x3+x3x5+x1x5+x2x4+x2x6+x4x6


C= x1x3x5+x2x4x6,


then the equation 2x^3 - Ax^2 + Bx - C = 0 has


1. exactly one real root


2. three positive roots


3. three negative roots


4. none of these

Grade:11

1 Answers

AYUSH SHARMA
33 Points
10 years ago

THE CORRECT OPTION IS THREE REAL ROOTS.

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