Math, asked by allysia, 1 year ago

Help!!!!!!


If the quadratic equation
 {x}^{2}  - 3xk + 2 {e}^{2 log(k) }  - 1 = 0
has real roots such that the product of roots is 7, then the value of k is :

(1) +/- 1
(2) +/- 2
(3) +/- 3
(4) None of these.


Note: Need well explained answer.


Anonymous: is e Napier constant
allysia: Help me to solve this
Anonymous: yes but is e Napier constant
allysia: Oooo.
Anonymous: i want to tell you something before solving this
allysia: and ...
HarishAS: is it e^2logk or e^2ln(k) ???
Pikaachu: Hello 6 :p ! Hoping you din't forget me already ^^"
Pikaachu: Well o_O You have the soln. Anyways, I'd advise putting K = (-2) in the original equation to check if it actually is a valid one or not
Pikaachu: -> Correct answer goes [ NONE OF THESE ]

Answers

Answered by HarishAS
7

Hey friend, Harish here.

Here is your answer. (Refer to the image).

Solve it we get k = ± 2

But log of negative number is not defined.

So the only correct answer will be be k = 2

__________________________________________

Hope my answer is helpful to you.

Attachments:

QGP: Nice Answer Bro, but I was thinking, -2 would make ln k in the original question invalid. That is, ln (-2) is undefined, so -2 should not be a solution.
QGP: In that case, only +2 holds
Anonymous: yes it does i knew answer before him but i was having my dinner
Anonymous: natural log was the problem
allysia: thanks Harish bhai
allysia: ^_^
Anonymous: hey harish how did u get that title
HarishAS: Thanks for pointing out the mistake bro. @QGP. forgot to mention that.
Pikaachu: +_+ Pikaa says : Natural Log of -ve numbers isn't defined
HarishAS: Harish Says: Already noticed but couldn't edit
Answered by Anonymous
4
hope this helps you.
Attachments:

allysia: Thanks dear.
allysia: ^_^
Anonymous: you are welcome
Similar questions