Condition for roots of quadratic equation $ax^2+bx+c=0 \,where\,\,,a\neq 0\,\,,\, a,b,c \in R$ Let Discriminant of quadratic $ax^2+bx+c=0$ is given by $D=b^2-4ac$ (1) Condition for roots to be complex :- The roots of equation are complex if $D \lt 0$ . Complex roots exist in conjugate pairs of the form p + iq , p – … Continue reading Condition for roots of quadratic equation.