Question

For the follow equation, state the value of the discriminant and the describe the nature if the solution.

18x^2-3x+8=0

I need to know if there is one real solution , two imaginary solution or two real solution.

I got the answer 1+3i√7 1-3i√7
------- , ------
12 12

Answer 1

Have you tried using wolfram alpha to check your answers?

Answer 2

http://www.wolframalpha.com/input/?i=18x^2-3x%2B8%3D0

Answer 3

which is basically what i have

Answer 4

Yes, your answer is correct

Answer 5

or do i need it just like they show

Answer 6

one real, two imaginary or two real is the question now

Answer 7

Well, what do you think it is?

Answer 8

the only thing that is different is that 12 is in a fraction

Answer 9

I think two imaginary solution is what I think

Answer 10

that's irrelevant, your answer and wolfram's answer is exactly the same thing. And you're right, two imaginary

Answer 11

ok

Answer 12

You don't really need wolfram. If the equation has the form
a*x^2 + b*x + c = 0
then the discriminant is
d = b^2 - 4*a*c.
Now you have 3 cases:
1) if d>0, then you have 2 real distinct solutions
2) if d=0, then you have 2 real identical solutions
3) if d<0, then you have 2 imaginary solutions (which is your case)

Good luck!

Answer 13

It was a two part question...I was suggesting wolfram alpha for verifying the numerical value of the x-intercepts college girl found using her own math, not necessarily for determining how many solutions

Answer 14

Good input though