complex no

can u help me out on this one without using de-moivre's theorem....

show that one value of (4+3i)^(-1/2) - (4-3i)^(-1/2) is 3√2/5.....('^':stands for:"to the power")

6 Answers

1357
Manish Shankar ·

you have given this 14+3i-14-3i

but according to your result it should be
14+3i+14-3i=4+3i+√4-3i5
now find the roots of (4+3i) and (4-3i)
which are (3+i)/√2 and (3-i)/√2

it will give the required result

62
Lokesh Verma ·

Indrajit

were you able to
Complete the solution?

1
Animesh Kumar ·

Sorry sir,
i was too much engagd in my annual exams but now i m back to learn.
Yes sir I was able to answer the Question.

1
Animesh Kumar ·

sir,
th hint set u forwardd had a fallacy,
here negative sign was rplaced by positive sign
please explain

1357
Manish Shankar ·

hmm.. yes animesh..

that was a mistake.. but I hope you were able to get the crux of the question.

1
INDRAJIT Ghosh ·

yeah i did the solution...it shoud be a "+" sign surely...

Your Answer

Close [X]