# if the roots of the equation ax^2+bx+c=0 are negative of each other then?a) c=0b)b=c=0c)b=0d)b=0,c not equal to zeroMY ATTEMPT:from the question, sum of roots=zerohence -b/a=0, this implies b=0then since there are two real roots then the curve must be cutting the x axis at two points.. so its discriminant shall be greater than zerohence b^2-4ac>0since b=zerohence -4ac>0 this implies c is not equal to zeroSO MY ANSWER CAME (D)BUT THE RIGHT ONE IS (C) , PLEASE EXPLAIN!THANKS IN ADVANCE!

Pushpendra
16 Points
10 years ago
if c would be zero then there would exists only 1 value of x. since the roots are equal and opposite, its equation will definitely contain the c term unless the root is zero.
RAJAT CHHABRA
16 Points
10 years ago
yea.. exactly so it is (d). but correct is (C) option
Lucky
9 Points
10 years ago
strictly speaking c and d both are correct because c doesn`t specify c to be 0 and d mentions the hidden fact in c that c should not be zero.
RAJAT CHHABRA
16 Points
10 years ago
mine is correct then! +3 yay