$a$ , $b$, $c$ are real numbers where a is not equal to zero and the quadratic equation \begin{align} ax^2 + bx +c =0 \end{align} has no real roots then prove that $c(a+ b+ c)>0$ and $a(a+ b + c) >0$
My Approach : As the equation has no real roots then its discriminant is less than zero. So the graph of the equation will be above $x$-axis or below $x$-axis . I am able to conclude signs of $a$ , $b$, $c$ but still not getting appropriate answer. Please explain the concept......