Guest

IF a,b,c are real numbers satisfying the condition a+b+c =0 then the nature roots of the quadratic equation 3ax^2+5bx+c=0?

IF a,b,c are real numbers satisfying the condition a+b+c =0 then the nature roots of the quadratic equation 3ax^2+5bx+c=0?

Grade:

2 Answers

jitender lakhanpal
62 Points
10 years ago

Dear rupali,

 the roots will be real and distinct 

the solution is attached

 

We are all IITians and here to help you in your IIT JEE preparation.

Now you can win by answering the questions on Discussion Forum. So help discuss any query on askiitians forum and become an Elite Expert League askiitian.

Now you score 5+15 POINTS by uploading your Pic and Downloading the Askiitians Toolbar : Click here to download the toolbar..  

jitender

1409_36248_quadratic equation.JPG

Ashwin Muralidharan IIT Madras
290 Points
10 years ago

Hi Rupali,

 

The discriminant of the QE is,

 

D = 25b2 - 12ac = 25(-a-c)2 - 12ac = 25a2+25c2+50ac-12ac = 25a2+25c2+38ac

   = 6a2+6b2+19a2+19c2+38ac = 6a2+6b2+19(a+c)2 -------- (which is always poitive, as they are square terms)

 

As D > 0, the roots of this QE are always real and distinct.

 

Hope that helps.

 

All the best.

Regards,

Ashwin (IIT Madras).

Think You Can Provide A Better Answer ?

Provide a better Answer & Earn Cool Goodies See our forum point policy

ASK QUESTION

Get your questions answered by the expert for free