How many real number solutions are there to the equation 0 = –3x² + x – 4?

Question

anonymous · Answer

Hi, do you know how to solve quadratic equations?

anonymous · Answer

I haven't learned this, but yet it's on my study quide, Idk why...

anonymous · Answer

That's OK, no problem. So you don't know how to solve this, right: $$x ^{2}+5x+6=0$$

anonymous · Answer

?

anonymous · Answer

No, I don't know how to do any of thiss.

anonymous · Answer

OK. Should I teach you how, or do you just want the answer to your original question?

anonymous · Answer

Any help would be great.

anonymous · Answer

OK, the answer to your question is 2. I can teach you how to solve these, if you want?

anonymous · Answer

Thanks!---Yeah, if you have the time and know how to teach people tht really don't understand half this stuff lol

zarkon · Answer

$$–3x² + x – 4=-3\left(x-\frac{1}{6}\right)^2-\frac{47}{12}$$

this is always negative and thus never zero...so no real solutions

anonymous · Answer

OK, sure! Before I go on, though, I made a mistake, the answer should have been 0, sorry :P

anonymous · Answer

Ohh, okay!

anonymous · Answer

multiply by -1 on both sides.
=3x^2-x+4
use quadratic equation to find value of x

   x=0.1667 + 1.1426i
x=   0.1667 - 1.1426i
this will give you complex root .There is not real root.

anonymous · Answer

Right. The easiest way to solve these is what's called "Completing the Square". I was going to type out a little lecture, but maybe it's easier to show you this video: http://www.youtube.com/watch?v=gzm-uhj06q8 It's 13 minutes long, and hopefully by the end you'll understand it all. Probably much easier to understand than any written explanations from me or anybody.

anonymous · Answer

quadratic equation is just a equation, your teacher may give you prove of this in next lectures. 
if you don't know this then that easy
take ur equation
that is -3x2+x-4=0
exponent 2 coefficeint is a=-3
exponent 1 coefficient is b=1
exponent 0 coefficeint is c=-4
just put these in quadratic equation that is this.

anonymous · Answer

Thanks you guys!!

anonymous · Answer

No problem :D

anonymous · Answer

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