SOLUTION: Hi all, I am having a meltdown with Quadratic equations, vertexes and intercepts. Could someone please help me uunderstand this problem? Solve the inequality. State the solut

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: Hi all, I am having a meltdown with Quadratic equations, vertexes and intercepts. Could someone please help me uunderstand this problem? Solve the inequality. State the solut      Log On


   

Question 18330: Hi all,
I am having a meltdown with Quadratic equations, vertexes and intercepts. Could someone please help me uunderstand this problem?
Solve the inequality. State the solution set using interval notation and graph it:
a^2 + 2a is less than or equal to 15.
Thank you very much!
Answer by xcentaur(357) About Me  (Show Source):
You can put this solution on YOUR website!
a^2 + 2a < 15
a^2 + 2a -15 < 0
(a-3)(a+5) < 0


Taking each case seperately,
(a-3)< 0
a< 3


a+5< 0
a< -5


+number_line%28+600%2C+-10%2C+10%2C+-1%2C+-5%2C+3+%29+


a< 3
a< -5


Hence we can simply write a<3


-Prabhat