Real roots

Algebra Level 3

let a,b,c be the sides of a triangle. no two of them are equal and p is a real number. if the roots of the equation x 2 x^2 + 2(a+b+c)x + 3p(ab+bc+ca)=0 are real,then p is

between 4/3 and 5/3 less than 4/3 between 1/3 and 5/3 less than 5/3

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