The roots of a quadratic equation ax²+bx + c = 0 are real and different in sign only i.e. only their numerical value are same , if
a>0 , b= 0, c<0
a<0 , b=0, c<0
a = 0, b>0 , c<0
a>0 , b>0 , c>0
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Answer:
Given equation ax
2
+bx+c=0
Determinant of equation should be positive for its roots to be real i.e, b
2
−4ac>0 but from the options we can see that only option D is right.
Because it reduces determinant to b
2
which is always positive.
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