JEE Quadratic Equations 2

Algebra Level 4

If all the three roots of a z 3 + b z 2 + c z + d = 0 az^3+bz^2+cz+d=0 have negative real parts ( a , b , c ∈ R ) (a,b,c\in R) , then

This problem is a part of My picks for JEE 2
b c > 0 \ bc>0 a b > 0 \ ab>0 a d > 0 \ ad>0 All of other options

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Pranjal Jain by Pranjal Jain , 23, India

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2 solutions

For jee point of view,one may consider the following cubic

-(x+1)^3=0 and perform the carnage ;)

1 Helpful 0 Interesting 0 Brilliant 0 Confused
Nayan Pathak
Mar 30, 2015

as all the roots have negative real parts,b/a>0, c/a>0, d/a>0,(by vieta) so easy to check each result,

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