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 one year ago
For how many positive integer values of c does the equation below have an integer solution?
 one year ago
For how many positive integer values of c does the equation below have an integer solution?

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

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

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

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

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

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

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

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

Jonask
 one year 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
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