If someone can, I need someone to solve this so I can compare my answer with their's on the quadratic formula.
\[2x^2-x-2=0\] My answer was: \[x+/-1i \sqrt{x^2}/2\]
If you can't read that end piece, it's radical x^2 over 2
how did you get that answer? quadratic formula doesn't involve x's in it
Heh... I miraculously just caught that. Give me a bit.
For the b in this equation, it would be -1 correct?
yes
and a=2, c=-2 and you correctly identified the value of b
So when I substituted b^2-4ac with \[-1^2-4(2)(-2)\], I should get \[\sqrt{1+16}\] Correct?
As well as the 2(2) being 4 on the denominator.
yep. (tho i recommend using parentheses around the -1 when squaring it, since the exponent applies to the 1 in -1)
I cannot simply this equation any further can I?
\[1\pm \sqrt{1+16}\over4\]
Since the 17 in the radical can't be rooted, that should be the solution?
Unless that 4 divides into the 16.
yes, you cannot simplify it any further
\[1\pm \sqrt{17}\over 4\]
Don't forget the "-b" in the very beginning of the numerator.
Thank you kindly.
@jpigott, did you get my post regarding the -b in the numerator??
Well i'm not necessarily sure what is supposed to happen to it. If I were to take a crack at it would it be 1+17/4 and 1-17/4?
The final answer could look like:\[1\pm \sqrt{17}\over 4\]
or 1/4 +/- (1/4)sqrt 17
I just didn't want you to just drop it, it is part of the solution.
Your last post is partially correct, but the 17 should be sqrt 17, or shown in a radical.
The equation editor is handy for expressing quadratics and their solution. All you have to do is click on the left lower button below your typing box.
The one labeled "Equation"\[\Sigma"Equation"\]
I do that. My apologies for the confusion. If i am reading what you typed correctly, I have to do (1+√17)/4 and vise vera?
By Jove, I believe you have it. Good luck with them.
Oh now I see what you were trying to get at. The actual answer is supposed to include both the + and the 1 equation as the answer, right?
Yes,\[1+\sqrt{17}\over 4\] and \[1-\sqrt{17}\over 4\]
Whoop! Thank you!
U r welcome.
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