MCQ
A quadratic equation $ax^2+ bx + c = 0$ has non $-$ real roots, if :
  • A
    $ b^2-4 a c=0 $
  • $ b^2-4 a c > 0 $
  • C
    $ b^2-4 a c < 0 $
  • D
    $ b^2-a c=0 $

Answer

Correct option: B.
$ b^2-4 a c > 0 $
The roots of the quadratic equation $a x^2+b x+c=0,$ In this formula the term $b^2-4 a c$ is called the discriminant. If $b^2-4 a c=0,$
so the equation has a single repeated root. If $b^2-4 a c>0,$ the equation has two real roots.
If $b^2-4 a c<0,$ the equation has two complex roots.

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