If the zeroes of the quadratic polynomial ax? + bx + c, a 0 are equal, then what are the signs of a and
c?
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Answer:
Given that the zeros of the quadratic polynomial ax
2
+bx+c,c
=0 are equal.
=> Value of the discriminant(D) has to be zero.
=>b
2
−4ac=0
=>b
2
=4ac
Since. L.H.S b
2
cannot be negative, thus, R.H.S. can also be never negative.
Therefore, a and c must be of the same sign.
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