Question

If the zeroes of the quadratic polynomial ax²+bx+c,
where c is not equal to 0, are equal, then
(a) c and a have opposite signs
(b) c and b have opposite signs
(c) c and a have same sign
(d) c and b have the same sign

Answer 1

Roots are equal if discriminant ,

d= b²- 4ac =0

which is possible only if ' a ' and ' c ' have same signs.

So option C is correct

Answer 2

Answer:

option c is correct

Step-by-step explanation:

Given that the zeros of the quadratic polynomial ax2+bx+c,c=0 are equal.

=> Value of the discriminant(D) has to be zero.

=>b2−4ac=0

=>b2=4ac

Since. L.H.S b2 cannot be negative, thus, R.H.S. can also be never negative.

Therefore, a and c must be of the same sign.