Question icon
Grade Select GradeAlgebra

Let a,b,c E R and a (is not equal to 0) be such that (a+c)2 2 ,then the quadratic equation ax2 + bx + c = 0 has :
  1. Imaginary roots.
  2. Real roots.
  3. Exactly one real root lying in the interval(-1,1).
  4. Exactly two roots in (-1,1).

Profile image of Wilby Back
11 Years agoGrade Select Grade
Answers icon

1 Answer

Profile image of SHAIK AASIF AHAMED
11 Years ago
Hello student,
Please find the answer to your question below
Givena,b,cER and a (is not equal to 0)
Also given (a+c)2<b2
So (a+c)2-b2<0
(a-b+c)(a+b+c)<0
So ax2+bx+c has atleast one root in (-1,1)