If the difference between the roots of a x^2+b x+c=0 is 1 , then which one of the following is correct?

Step-by-step solution

aligned + & =-b / a & =c / a - & =1 ( + )^2-( - )^2 & =4 b^2 a^2 -1 & = 4 c a b^2-a^2 a^2 & = 4 c a b^2-a^2 & =4 a c b^2 & =a^2+4 a c & =a(a+4 c) . aligned