Question

How do you solve the inequality `x^2+12x<-36`?

Answer 1

No solution.

Explanation:

`x^2+12x<-36`

`hArrx^2+12x+36<0`

or `x^2+2xx6xx x+6^2<0`

or `(x+6)^2<0`

But we cannot have `(x+6)^2<0`, as `(x+6)^2` is always positive.

Hence, we have no solution.