0

Guest

Courses New

If a+b+c=0 and a,b,c are rational number,the the roots of the equation (b+c-a)x^2+(c+a-b)x+(a+b-c)=0 are

If a+b+c=0 and a,b,c are rational number,the the roots of the equation (b+c-a)x^2+(c+a-b)x+(a+b-c)=0 are

Grade:Upto college level

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
9 years ago
Hello student,
Discriminant=(c+a-b)2-4(b+c-a)(a+b-c)
on simplifying it we get =2(a-c)2
as dicriminant is a perfect square
The roots are rational
Thanks and Regards
Shaik Aasif
askIITians faculty

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