# How do you solve #x^2+16x+24>6x#?

##### 2 Answers

May 25, 2018

#### Explanation:

simplifying to

solving

so our inequality is equivalent to

this gives us

Aug 9, 2018

#### Explanation:

Given:

#x^2+16x+24 > 6x#

Subtract

#x^2+10x+24 > 0#

We can make the left hand side into a perfect square trinomial by adding

#(x+5)^2 = x^2+10x+25 > 1#

Note that this would give equality when

Hence the inequality is achieved when:

#x < -6" "# or#" "x > -4#

In interval notation, when:

#x in (-oo, -6) uu (-4, oo)#