Mathematics
14 Online
OpenStudy (anonymous):
Rationalize the denominator
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OpenStudy (anonymous):
OpenStudy (anonymous):
You have:
\[\frac{\sqrt{-36}}{(2-3i)(3+2i)}=\frac{6i}{6+4i-9i-6i^2}=\frac{6i}{6+4i-6(-1)}=\frac{6i}{6+4i}\]
OpenStudy (mertsj):
\[\frac{6i}{5-i}\times\frac{5+i}{5+i}=\frac{-6+30i}{26}=\frac{-3+15i}{13}\]
OpenStudy (mertsj):
2-3i+3+2i=5-i
OpenStudy (anonymous):
@Mertsj is that the final answer?
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OpenStudy (mertsj):
yes
OpenStudy (anonymous):
I got something diferent
OpenStudy (mertsj):
That's because you did not pay attention to the fact that the denominator said + and not x.
Also you did not rationalize the denominator.
OpenStudy (anonymous):
OHHHH right sorry
OpenStudy (anonymous):
Here are the options
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OpenStudy (mertsj):
Why did you post the list of answers?
OpenStudy (anonymous):
because I was showing the options. I dont see urs
OpenStudy (mertsj):
The very first thing I posted contains the answer. Did you even look at it?
OpenStudy (anonymous):
yeaah. Hold on
OpenStudy (anonymous):
ok sorry I wasnt looking correctly ! Thnks so much
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OpenStudy (mertsj):
yw
OpenStudy (anonymous):
one more thing! When your doing descending order...do u do it from the numbers highest to low or exponents highest to low
OpenStudy (anonymous):
@Mertsj
OpenStudy (mertsj):
high to low descending means go down as in, "The debutante descended the spiral staircase."
OpenStudy (anonymous):
Yeah so thats with numbers not exponent correct?
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OpenStudy (mertsj):
exponents.
OpenStudy (mertsj):
Not coefficients
OpenStudy (anonymous):
hm ok so lets say 14f^3 +^3f^2 -6f^8 (just made it up) U get -6f^8 +14f^3 +3f^2
OpenStudy (mertsj):
If you want to put it in descending order that is what you get.
OpenStudy (anonymous):
Ok cool thanks
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OpenStudy (mertsj):
yw