iwanttogotostanford
  • iwanttogotostanford
ALGEBRA II HELP: Which of the following is the conjugate of 10 − 3i?
Mathematics
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iwanttogotostanford
  • iwanttogotostanford
ALGEBRA II HELP: Which of the following is the conjugate of 10 − 3i?
Mathematics
katieb
  • katieb
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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anonymous
  • anonymous
change the sign in front of the imaginary part to find the conjugate
anonymous
  • anonymous
(a + bi and (a - bi) are conjugates
anonymous
  • anonymous
It would be 10+3i For example Conjugates: 3-2i, 3+2i

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campbell_st
  • campbell_st
remember part of the general quadratic formula \[-b \pm \sqrt{b^2 - 4ac}\] so if you think about \[3 \pm \sqrt{-4} = 3 \pm 2i\] so the integer doesn't change its just the sign of the imaginary part
campbell_st
  • campbell_st
its also like the difference of 2 squares how do you get a 2 term quadratic (a -b)(a +b) = a^2 - b^2
iwanttogotostanford
  • iwanttogotostanford
sorry, my wi-fi went out for awhile @campbell_st @twistnflip @peachpi
iwanttogotostanford
  • iwanttogotostanford
so i would want to do the opposite for this one?
iwanttogotostanford
  • iwanttogotostanford
what is the first step?
anonymous
  • anonymous
Yes the conjugates are easy. just switch the sign from positive to negative or vice versa. Here the conjugate is 10+3i
iwanttogotostanford
  • iwanttogotostanford
so it would be 13i?
iwanttogotostanford
  • iwanttogotostanford
wow I'm being stupid
anonymous
  • anonymous
Nope do you have answer choices. It wouldn't be 13i because you can't add the two terms because one has a variable and the other does not lol
anonymous
  • anonymous
The answer is 10 + 3i <-- Final answer
iwanttogotostanford
  • iwanttogotostanford
i get it the question was just asking for the conjugate so its 10+3i
iwanttogotostanford
  • iwanttogotostanford
my answer choices are
iwanttogotostanford
  • iwanttogotostanford
10 + 3i 10 − 3i 3 + 10i 3 − 10i
anonymous
  • anonymous
a.
anonymous
  • anonymous
Make sense?
iwanttogotostanford
  • iwanttogotostanford
thanks for helping me better understand, everyone!
iwanttogotostanford
  • iwanttogotostanford
yep, makes perfect sense

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