0

Guest

Courses New

If 3 lines in between the roots of the equation x^2+2mx+9=0,then m must bee in the interval?

If 3 lines in between the roots of the equation x^2+2mx+9=0,then m must bee in the interval?

Grade:Upto college level

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
9 years ago
Hello student,
Please find the answer to your question below
Givenlie s in between the roots of the equation x^2+2mx+9=0
So f(3)<0 hence we get9+6m+9<0 so m<-3..........(1)
also as product of roots is +ve both must be positive or both must be -ve
as 3 lies between the roots of the eqn both the roots must be +ve
so discriminant>=0
4m2-36>=0
(m+3)(m-3)>=0
m\epsilon(-\alpha,-3]u[3,\alpha).........(2)
From 1 and 2 we get m\epsilon(-\alpha,-3)

Think You Can Provide A Better Answer ?

Other Related Questions on Algebra

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More