Quadratic Formula

[sportywarbz]

Hi,
basically the problem gives you a=3, b=-4 and c=5.
I plugged those numbers into the quadratic formula and am suck with this.

x = [4 + sqrt(-44)] / 6 and [4 - sqrt(-44)] / 6

I think the thing that is confusing me the most is the negative sign with the sqrt.

 

[Denis]

Google "imaginary numbers"

 

[sportywarbz]

So would the answers be...

x= [4 + i (sqrt (44))] / 6

and

x= [4 - i (sqrt (44))] / 6

yes or no?

 

[Loren]

You seem to want a yes or no answer. I would give you a yes AND no answer. Your answer can be simplified further. So far, so good.

 

[JeffM]

So would the answers be...

x= [4 + i (sqrt (44))] / 6

and

x= [4 - i (sqrt (44))] / 6

yes or no?

Mostly YES with a NO sprinkle on top.
YES. That is what you PROPERLY get when plug the relevant paramters into the quadratic formula. Excellently done.

BUT you MAY lose partial credit for not SIMPLIFYING your answers
{4 + [i * sqrt(44)]} / 6 = {4 + [i * sqrt(4 * 11)]} / 6 = {4 + [2i * sqrt(11)]} / 6 = (2/6) * {2 + [i * sqrt(11)]} = {2 + [i * sqrt(11)]} / 3.
Same thing applies to the other root.

Edit: Oops. Cross posted with Loren. Apologies.