can you show me how to divide this? -12i/(2-5i)
L latresa31s Junior Member Joined Sep 4, 2005 Messages 135 Oct 19, 2005 #1 can you show me how to divide this? -12i/(2-5i)
D Daniel_Feldman Full Member Joined Sep 30, 2005 Messages 252 Oct 19, 2005 #2 Multiply both the numerator and the denominator by 2+5i and simplify.
L latresa31s Junior Member Joined Sep 4, 2005 Messages 135 Oct 19, 2005 #3 OK am I setting this up right? (-12i)*(2+5i)= -24+-60i^2 (2+5i)*(2-5i)=4-25i^2 -24i + -60i(-1)/4-25(-1) I am not sure if this is right could you let me know?
OK am I setting this up right? (-12i)*(2+5i)= -24+-60i^2 (2+5i)*(2-5i)=4-25i^2 -24i + -60i(-1)/4-25(-1) I am not sure if this is right could you let me know?
pka Elite Member Joined Jan 29, 2005 Messages 11,983 Oct 19, 2005 #4 Note that |2−5i|<SUP>2</SUP>=29. (-12i)*(2+5i)= -24i−60i<SUP>2</SUP>=60−24i. So -12i/(2-5i)=[60−24i]/29.
Note that |2−5i|<SUP>2</SUP>=29. (-12i)*(2+5i)= -24i−60i<SUP>2</SUP>=60−24i. So -12i/(2-5i)=[60−24i]/29.
L latresa31s Junior Member Joined Sep 4, 2005 Messages 135 Oct 19, 2005 #5 how did you get 29 ok -12i (2-5i) = (-12i)(2+5i) (2-5i)(2+5i) = 24i-60i^2 -21i Ok this is far as I got to.
how did you get 29 ok -12i (2-5i) = (-12i)(2+5i) (2-5i)(2+5i) = 24i-60i^2 -21i Ok this is far as I got to.
pka Elite Member Joined Jan 29, 2005 Messages 11,983 Oct 19, 2005 #6 The correct answer is [60−24i]/29. You have real problems with signs!
L latresa31s Junior Member Joined Sep 4, 2005 Messages 135 Oct 19, 2005 #7 Pka sorry to be such a problem. but could you show me how this problem would be set up I would like to use it as an example for my other problems.
Pka sorry to be such a problem. but could you show me how this problem would be set up I would like to use it as an example for my other problems.
pka Elite Member Joined Jan 29, 2005 Messages 11,983 Oct 19, 2005 #8 Note that (2−5i)(2+5i)=(4−25i<SUP>2</SUP>)=(4−25(−1))=29. (-12i)*(2+5i)= −24i−60i<SUP>2</SUP>=60−24i. So -12i/(2-5i)=[60−24i]/29.
Note that (2−5i)(2+5i)=(4−25i<SUP>2</SUP>)=(4−25(−1))=29. (-12i)*(2+5i)= −24i−60i<SUP>2</SUP>=60−24i. So -12i/(2-5i)=[60−24i]/29.