what are two factors of 82 that add up to be -20?

Answer 1

(x, y) = (-10 + 6*2^0.5, -10 - 6*2^0.5) and (-10 - 6*2^0.5, -10 + 6*2^0.5)

(There are no integer "factors" for this problem. I only offer the above because your question involving 84 and -20 makes it clear you don't aim at defining "factor" in a traditional sense. And because the other person doing this analysis got the wrong answer.)

xy = 82 and x + y = -20
So, y = -20 - x and you have xy = x*(-20 - x) = 82
and: -20x - x^2 = 82 giving: -x^2 - 20x - 82 = 0 and so:
x^2 + 20x + 82 = 0 which is quadratic and yields:
x = -10 +/- 6*2^0.5

Substitute back into y = -20 - x:
y = -20 - (-10 +/- 6*2^0.5) = -20 + 10 +/- 6*2^0.5 = -10 +/- 6*2^0.5

and checking each variant of the =/-, we get x and y pairs that are mirror images as noted at the start.

Answer 2

Perhaps you should research YOUR FAVOURITE TEAM'S HISTORY a little son. Start with Datsyuk and Zetterberg's play-off history. In Datsyuk's first 37 play-off games, he had 3 GOALS! In his first 60 play-off games he had 9 GOALS!!! Picking up the pace a bit in his last couple of postseasons........he has played in 82 GAMES (equal to a season) and has 21 goals and 54 points. Meh. HUGE drop-off in postseason production from regular season! Zetterberg's production ALSO drops in the play-offs. Prior to last season he was even a -3 in the playoffs. Crosby has 25 play-off games and 32 points. Malkin has 26 in 25 playoff games. There is actually no comparison between the two. Prior to last season, Zetterberg and Datsyuk were two of the biggest chokers in the play-off in the NHL. FACT! You really show your ignorance and lack of knowledge in alot of your inaccuracies as well. Malkin had 0 points in last year's SCF? You might want to re-check that! How about the FACT that Ken Hooland said Crosby was THE BEST player on the ice for EITHER team in the SCF? Further lack of knowledge....Parise/Zajac are worthless and not worth mention. Zajac is a nobody? Maybe if you took your head out of your homer A$$ for a minute you might figure out that he will probably be a finalist for the Selke (the only thing Datsyuk has ever won after all) and will finish in the top 5 at the very least. Parise is also tearing it up! WOW is all I can say. You'd think with all the time that it looks like you put in to that drivel you would think that you'd get it right. You fail!

Answer 3

82 has only two possible factorings:
1*82
2*41
Neither of these can result in a sum or difference of 20

Answer 4

x*y = 82
x = 82/y
x+y = -20
82/y +y = -20
82 + y^2 = -20y
y^2+20y+82 = 0

solve for y using the quadratic equation
1)y = -10 - 3sqrt(2)
2) y = -10 + 3sqrt(2)

so the solutions would be
x+y =-20
x = -y - 20
1) x = -30 - 3sqrt(2)
2) x = -30 + 3 sqrt(2)

a factor doesn't have to be an integer, right?

Answer 5

41 and 2 are the only factors... but they willl not add to 20

Answer 6

82 doesn't factor into negative numbers.
There must be more to the question.

Answer 7

what class are you in, there is an awnser, though it uses complex numbers i didn't know existed until first year of my physics study...

Answer 8

-14 and -6

add them to get -20

multiply them to get 84

Answer 9

ahhhh thats confusing NO WAY JOSE

Answer 10

TRICK QUESTION I BET CAUSE I CANNOT WORK IT OUT LOL