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

 
Let a,b,c E R and a (is not equal to 0) be such that (a+c)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).

Grade:Select Grade

1 Answers

SHAIK AASIF AHAMED
askIITians Faculty 74 Points
7 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)

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