find the solution set of the following quadratic inequalities
x²+6x<-5
show your solution
Share
find the solution set of the following quadratic inequalities
x²+6x<-5
show your solution
Sign Up to our social questions and Answers Engine to ask questions, answer people’s questions, and connect with other people.
Login to our social questions & Answers Engine to ask questions answer people’s questions & connect with other people.
Verified answer
Answer:
−5<x<−1
Step-by-step explanation:
Let's solve your inequality step-by-step.
x2+6x<−5
Let's find the critical points of the inequality.
x2+6x=−5
x2+6x−(−5)=−5−(−5)(Subtract -5 from both sides)
x2+6x+5=0
(x+1)(x+5)=0(Factor left side of equation)
x+1=0 or x+5=0(Set factors equal to 0)
x=−1 or x=−5
Check intervals in between critical points. (Test values in the intervals to see if they work.)
x<−5(Doesn't work in original inequality)
−5<x<−1(Works in original inequality)
x>−1(Doesn't work in original inequality)
Answer:
( The answer is in the picture)
Step-by-step explanation:
sorry kung mali yung sagot,but hope it helps you po
ty pa brainlist and follow na din :)