If the roots of the quadratic equation # ax^2+bx+c=0# are imaginary then for all values of #a,b,c# and #x in R# then the nature of expression #a^2x^2+abx+ac# is?
A. Positive
B. non-negative
C Negative
D may be positive, zero or negative
Ans is A
A. Positive
B. non-negative
C Negative
D may be positive, zero or negative
Ans is A
1 Answer
Jul 18, 2017
See explanation...
Explanation:
To say that the roots of
#f(x) = ax^2+bx+c#
does not intersect the
Since this is described as a quadratic, we must have
So the whole of the parabola either lies on one side of the
When we multiply by
So the answer is indeed A.