A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
Which values of p and q would make the value of the following expression equal to 29i?
(2 – 5i)(p + q)i
anonymous
 one year ago
Which values of p and q would make the value of the following expression equal to 29i? (2 – 5i)(p + q)i

This Question is Closed

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0Ok, expand the (25i)(p+q)i and what do you then get?

LynFran
 one year ago
Best ResponseYou've already chosen the best response.1yes in other words multiply out the bracket

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0\(\large\color{black}{ \displaystyle (a+b)(c+d)=ab+ac+bc+bd }\) have you seen anything like this before?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i need to look into which property is which still get them confused

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0\(\large\color{black}{ \displaystyle (2 – 5i)(p + q)=2(p+q)5i(p+q) }\) same way as: \((ab)(C)=a(C)b(C)\)  And therefore: \(\large\color{black}{ \displaystyle (2 – 5i)(p + q)i=2i(p+q)5i^2(p+q) }\) we know \(i^2=1\) because \(i^2=\left(\sqrt{1}\right)^2=1,\) like any \(\left(\sqrt{a}\right)^2=a\) So, \(\large\color{black}{ \displaystyle (2 – 5i)(p + q)i=2i(p+q)5(1)(p+q) }\) \(\large\color{black}{ \displaystyle (2 – 5i)(p + q)i=2i(p+q)+5(p+q) }\)

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0Now, how would you get 29i in a "a+bi" form? 0+29i and so here we have this form as well 5(p+q) + 2(p+q)i so a=0=5(p+q) bi=29i=2(p+q)i

SolomonZelman
 one year ago
Best ResponseYou've already chosen the best response.0solve the system 0=5(p+q) 29=2(p+q) (> this eq. results after canceling the i's on both sides.)
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.