A community for students.
Here's the question you clicked on:
 0 viewing
dinainjune
 4 years ago
how to solve this a^3>1 and the answer is a<1 , can anyone explain to me?
dinainjune
 4 years ago
how to solve this a^3>1 and the answer is a<1 , can anyone explain to me?

This Question is Closed

saifoo.khan
 4 years ago
Best ResponseYou've already chosen the best response.0take cube root on both sides.

saifoo.khan
 4 years ago
Best ResponseYou've already chosen the best response.0the cube root of 1 is 1.

hahd
 4 years ago
Best ResponseYou've already chosen the best response.0ull end up with 1 again hence the answer

dinainjune
 4 years ago
Best ResponseYou've already chosen the best response.0yes, it's cube root. and i still confuse

Ishaan94
 4 years ago
Best ResponseYou've already chosen the best response.0or there is another way too a^3 > 1 a^3 +1 > 0 (a + 1)(a^2 + 1 a)> 0 ^ ^ real complex a >1

jim_thompson5910
 4 years ago
Best ResponseYou've already chosen the best response.0a^3 > 1 a^3 + 1 > 0 (a+1)(a^2a+1) > 0 .. factor with the sum of cubes formula Since a^2a+1 is ALWAYS positive (look at the graph of a^2a+1 to see this or complete the square on a^2a+1), this means that a^2a+1 has NO influence on the sign of the entire expression. So everything is dependent on the factor a+1 So because the entire expression is positive, and the sign depends on a+1, we know for sure that a+1 > 0 a+1 > 0 a > 1 So the solution is a > 1

Ishaan94
 4 years ago
Best ResponseYou've already chosen the best response.0but I am sure you don't want the complex thing so just so a>1

jim_thompson5910
 4 years ago
Best ResponseYou've already chosen the best response.0make sure that there are no typos

dinainjune
 4 years ago
Best ResponseYou've already chosen the best response.0okay, thank you all :)
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.