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anonymous
 one year ago
Hey can someone please help me out with this? I'll fan and medal :)
Write x^2  2x  3 = 0 in the form (x  a)^2 = b, where a and b are integers.
(x  4)^2 = 3
(x  3)^2 = 2
(x  2)^2 = 1
(x  1)^2 = 4
anonymous
 one year ago
Hey can someone please help me out with this? I'll fan and medal :) Write x^2  2x  3 = 0 in the form (x  a)^2 = b, where a and b are integers. (x  4)^2 = 3 (x  3)^2 = 2 (x  2)^2 = 1 (x  1)^2 = 4

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0@Vocaloid @iGreen @wio @Kainui

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0do you know how to do that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Umm, kind of. Could you help walk me through it?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, so I'm not sure where to start...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0first step is to move the 3 to the other side of the equation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so add 3 to both sides to get x^2  2x = 3

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, so it would read x^2  2x = 3?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh, wait that's what you put lol

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, and then I might try to factor?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433358733396:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0now divide the 2x by 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433358802037:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0then you square 1 and put it back into the equation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433358865720:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Wait, I think I got lost somewhere. So after you divide the 2x by 2, you have to divide the other side of the equation by 2 which gives you the equation x^2  x = 1.5. Right?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0no, not when completing the square. we are only looking at the right side of the equation right now

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sorry, i meant the left side of the equation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Hmmm, I'm still lost.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0all we are doing is adding a number to the left side of the equation so we get a factor for x with multiplicity 2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0we then add that same number to the right side of the equation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0i think you will understand it when I go through all the steps

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so we added 1 to x^2  2x on the left side of the equation. since we added 1 to one side of the equation, we now add 1 to the other side

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Ok, so now the equation is x^2 + 1 = 4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1433359235489:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0the 2x is still there

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Wait I meant x^2 2x + 1 = 4

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0thats right, now factor x^22x+1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I think this is where I get lost

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I know how to factor but this one is different lol I guess

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok, what two numbers multiply together to get 1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0its suppose to add to 2 so 1 and 1 doesn't work.

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh, ok so it would have to be 1 and 1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0what other 2 numbers multiply together to get 1

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so what does the equation look like factored?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Oh, I think I got it (maybe)! Is it (x  1)^2 = 4?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Yay! Thank you so much @10115658 It makes perfect sense now. :) I am now officially a fan ;)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Tttyl and thanks again :)
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