How do you solve #x^2 - x - 2 ≥ 0#?

1 Answer
Jun 15, 2018

#(-oo,-1]uu[2,oo)#

Explanation:

#"factor the quadratic"#

#(x-2)(x+1)>=0#

#"solve "(x-2)(x+1)=0#

#x=-1" or "x=2larrcolor(red)"x-intercepts"#

#"since "a>0" then graph is a minimum "uuu#

#"for "x^2-x-2>=0#

#x<= -1" or "x>=2#

#(-oo,-1]uu[2,oo)larrcolor(blue)"in interval notation"#
graph{x^2-x-2 [-10, 10, -5, 5]}