write the expression in standard form 8-i / 8+i

Question

anonymous · Answer

i of imaginary?

anonymous · Answer

yes

anonymous · Answer

i got 7/2 - 9/2i as the answer

anonymous · Answer

is this right?

tkhunny · Answer

Remember your Order of Operations.  It is ALWAYS working.  You did try to get it with spacing, but it is much more clear with parentheses.  (8-i)/(8+i)

anonymous · Answer

(8-i)/(8+i) is the question and my answer is  7/2 - 9/2i

anonymous · Answer

on the book it didn't have paranthesis

tkhunny · Answer

It very often doesn't IN A BOOK.  You are not writing the same way, here.  ALWAYS write what you mean and make sure it says what you want.  Trust no one - book or otherwise.  Strive for clarity.

tkhunny · Answer

Show numerator and denominator separately.

$\dfrac{8-i}{8+i}\cdot \dfrac{8-i}{8-i} = $

anonymous · Answer

8-8i-i+i squared / 8-i+i-i squared

anonymous · Answer

then i got 8-9i+(-1) / 1-(-1)

anonymous · Answer

7-9i / 2 = 7/2-9/2i

tkhunny · Answer

No good.  Please go over that again.

$\dfrac{8-i}{8+i} = \dfrac{8-i}{8+i}\cdot\dfrac{8-i}{8-i} = \dfrac{64 - 16i + i^{2}}{64 - i^{2}}$

Simplify and try again.