# Handle these Quadratic Inequalities!

Algebra Level 3

If all the solutions of the inequality ${ x }^{ 2 }+6ax+5{ a }^{ 2 }\quad \le \quad 0$ are also the solutions of the inequality ${ x }^{ 2 }-14x+40\quad \le \quad 0$, find the number of integral values of 'a'.

×