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anonymous
 4 years ago
How would you complete the square with x^2+2x6=0?
anonymous
 4 years ago
How would you complete the square with x^2+2x6=0?

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Hero
 4 years ago
Best ResponseYou've already chosen the best response.1x^2+2x6 = 0 x^22x = 6 x^22x+1 = 6 +1 (x1)^2 = 5 x  1 = sqrt(5) x = sqrt(5)  1 x = + or  i*sqrt(5)  1

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0wouldn't you bring it over to the other side as a positive 6 since you're adding it?

Hero
 4 years ago
Best ResponseYou've already chosen the best response.1Before you complete the square, it has to be in the form: x^2 + bx = c

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0I just noticed you changed the signs to make the x positive, that makes more sense, thank you! does the x always have to be positive before completing the square?

Hero
 4 years ago
Best ResponseYou've already chosen the best response.1Actually, let me post it a little differently so that the steps are expressed as close to the proper method as possible.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Alright, because I'll need it for future reference, thank you so much

Hero
 4 years ago
Best ResponseYou've already chosen the best response.1x^2+2x6 = 0 (x^22x +6) = 0 x^22x +6 = 0 x^22x = 6 x^22x+1 = 6 +1 (x1)^2 = 5 x  1 = sqrt(5) x = sqrt(5)  1 x = + or  i*sqrt(5)  1

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0for the ending, why don't you put 1 + or  i*sqrt(5)?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0or isn't that generally the same concept?

Hero
 4 years ago
Best ResponseYou've already chosen the best response.1What seems to be the trouble. You're familiar with complex numbers right?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0But could the +1 go in the front? Nobodies perfect, I'm in precalc and even my teacher makes simple mistakes. Thank you a lot though this really helped!

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0x = 1 + or  i*sqrt(5)?

Hero
 4 years ago
Best ResponseYou've already chosen the best response.1You can write it that way too

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0alright, I tried working it out on my own after I saw you extracted the  from the original equation, and came to that same conclusion. thank you! really, that made complete sense!
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