We use cookies to personalise content and advertisements and to analyse access to our website. Furthermore, our partners for online advertising receive pseudonymised information about your use of our website. cookie policy and privacy policy.
 
+0  
 
0
58
3
avatar+153 

Let  \(a,b,c \)  be positive real numbers. Determine the largest total number of real roots that the following three polynomials may have among them:   \(ax^2 + bx + c,\)\(bx^2 + cx + a, \)\(cx^2 + ax + b. \)

 Nov 16, 2019
 #1
avatar
+1

They are all quadratics, that can have two real roots, so the largest total number of real roots is 6.

 Nov 16, 2019
 #2
avatar+1679 
+1

AoPS. Morrivillle,

 

Try not to post homework questions.

 Nov 16, 2019
 #3
avatar
0

AoPS.Morrisville PLEASE do not post homework questions on this forum

 Nov 16, 2019

39 Online Users

avatar
avatar