SOLUTION: Hello! My question is about complex numbers. I need to find the value of k and the roots of the equation 3x^2+kx+4=0, and we also know that the sum of the roots is 3. Thank y

Algebra ->  Complex Numbers Imaginary Numbers Solvers and Lesson -> SOLUTION: Hello! My question is about complex numbers. I need to find the value of k and the roots of the equation 3x^2+kx+4=0, and we also know that the sum of the roots is 3. Thank y      Log On


   



Question 1139707: Hello!
My question is about complex numbers.
I need to find the value of k and the roots of the equation 3x^2+kx+4=0, and we also know that the sum of the roots is 3.
Thank you!

Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
system%283x%5E2%2Bkx%2B4=0%2Csum_of_roots=3%29

-k%2F3=3, because given is sum of roots is 3.
-k=9
k=-9
-
3x%5E2-9x%2B4=0

x=%28-9%2B-+sqrt%2833%29%29%2F6

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.

As you see from the solution of the other tutor, the roots of the equation are real numbers,

so your assumption "a question about complex numbers" is   W R O N G.

It is not for the first time I ask you: stop formulate your hypotheses about the problem, because they are always   W R O N G.

Start your post with the standard mantra "Please help me solve this problem".

With this mantra, you always will be in.

Inventing any other introduction, you always will be out, because you don't know any subject.