A community for students.
Here's the question you clicked on:
 0 viewing
Jonask
 2 years ago
For how many positive integer values of c does the equation below have an integer solution?
Jonask
 2 years ago
For how many positive integer values of c does the equation below have an integer solution?

This Question is Closed

Jonask
 2 years ago
Best ResponseYou've already chosen the best response.0\[\huge \color{brown}{ 2x^2+689x+c}\]

Jonask
 2 years ago
Best ResponseYou've already chosen the best response.0@TuringTest @phi @hartnn @sauravshakya @shubhamsrg

Jonask
 2 years ago
Best ResponseYou've already chosen the best response.0\[(2x+a)(x+b)=4x^2+2x(a+b)+ab\] \[2(a+b)=689,ab=c\]

Jonask
 2 years ago
Best ResponseYou've already chosen the best response.0i dont kow wat to do here

Jonask
 2 years ago
Best ResponseYou've already chosen the best response.0first 689 can never be written as even number

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.0I am pretty bad at things like this for some reason, sorry.

Jonask
 2 years ago
Best ResponseYou've already chosen the best response.0wolfram gives interger solutions as \[c=689n2n^2, x=n\]

TuringTest
 2 years ago
Best ResponseYou've already chosen the best response.0I am assuming the equation is\[\large2x^2+689x+c=0\]right?

shubhamsrg
 2 years ago
Best ResponseYou've already chosen the best response.12x^2 + 689x + c = 0 c = 689x  2x^2 x= n will always given a ve c, hence x should be n , for some integer n, => c = 689n  2n^2 this has to be >0 => 689n 2n^2 >0 => n(689  2n) >0\ We already know n>0 hence we only have to deal with 689 > 2n or n < 344.5 Hence there can be 344 required value's of c. I have done this on brilliant.org if I am not wrong.

Jonask
 2 years ago
Best ResponseYou've already chosen the best response.0yes its from them,i have many other problems from them,if you dont mind you can check the question i asked bfore this one...thanks makes sense

shubhamsrg
 2 years ago
Best ResponseYou've already chosen the best response.1What do you mean "the only c" ?

Jonask
 2 years ago
Best ResponseYou've already chosen the best response.0the question says For how many positive integer values of c so are there 344 interger c's
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.