In a quadratic equation, if the coefficient b is negative, then one or both of the solutions will be positive. But not knowing whether one is positive or both, we cannot know whether rs is positive, so statement 1 is not sufficient.sud21 wrote:x^2+bx+c=0, r and s are the solutions of the formula. Is r*s<0?
1) b<0
2) c<0
If the coefficient c is negative, then one solution will have to be positive and one negative in order to factor the equation properly. So that means if we multiply r by s, we multiply a positive by a negative. So the result will be negative. Statement 2 is sufficient to say "YES."
