If there are two equations
,
such that
then
Both equations will have real roots
Both equations will have imaginary roots
One will have real roots and other will have imaginary roots
At least one will have real roots
This is possible when at least one of &
is non negative, So at least one will have real roots.
System of quadratic equations. -
If and
have discriminants
&
such that
then atleast one quadratic has real roots
-
Option 1)
Both equations will have real roots
This is incorrect
Option 2)
Both equations will have imaginary roots
This is incorrect
Option 3)
One will have real roots and other will have imaginary roots
This is incorrect
Option 4)
At least one will have real roots
This is correct
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