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moneybird Group TitleBest ResponseYou've already chosen the best response.5
What are all the values of "x" between 0 and 2 pi that satisfy the equation? \[(5+2\sqrt{6})^{\sin x} +(52\sqrt{6})^{\sin x} = 2 \sqrt{3}\]
 2 years ago

Walleye Group TitleBest ResponseYou've already chosen the best response.0
my exact thoughts. I have never seen anything like this
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.3
Hmm \[(5 + 2 \sqrt6)(5  2\sqrt6) = 25  24 =1\]
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.3
Okay I think maybe I got it!
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.3
Hmm \[(5+2\sqrt{6})^{\sin x} +(\frac{1}{5 + 2\sqrt{6}})^{\sin x} = 2 \sqrt{3}\] How about this? :D
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.3
\[\frac{(5 + 2\sqrt{6})^{2\sin{x}} +1}{(5 + 2\sqrt{6})^{\sin{x}}} = 2\sqrt{3}\] Are we getting somewhere? lol
 2 years ago

moneybird Group TitleBest ResponseYou've already chosen the best response.5
I think I got it
 2 years ago

Walleye Group TitleBest ResponseYou've already chosen the best response.0
awesome ishaan!
 2 years ago

moneybird Group TitleBest ResponseYou've already chosen the best response.5
Let (5 + 2 sqrt (6)) be a Let sinx be b \[a^b + \frac{1}{a^b} = 2 \sqrt{3}\] \[\frac{a^{2b} + 1}{a^b} = 2 \sqrt{3}\] \[a^{2b} + 1  2 a^b \sqrt{3}\]
 2 years ago

moneybird Group TitleBest ResponseYou've already chosen the best response.5
Let a^b be c \[c^2 2c \sqrt{3} + 1 = 0 \]
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.3
\[(5 + 2\sqrt{6})^{2\sin{x}} + 1 = 2\sqrt{3}\times (5 + 2\sqrt{6})^{\sin{x}} \] \[ 1 = 2\sqrt{3}\times (5 + 2\sqrt{6})^{\sin{x}}  (5 + 2\sqrt{6})^{2\sin{x}}\] Hmm....
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.3
Oh i see what you did.... Hmm nice
 2 years ago

moneybird Group TitleBest ResponseYou've already chosen the best response.5
Thanks for the hint :3
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.3
No Problem :)
 2 years ago

moneybird Group TitleBest ResponseYou've already chosen the best response.5
x = 60, 150, 210, 330 degrees
 2 years ago

Ishaan94 Group TitleBest ResponseYou've already chosen the best response.3
Cool! :D If only there was an easier way to get this
 2 years ago

ali.athar Group TitleBest ResponseYou've already chosen the best response.0
\[\lim_{x \rightarrow 1} x ^{3}1/x ^{2}1\]
 2 years ago

ali.athar Group TitleBest ResponseYou've already chosen the best response.0
is someone answer this limit question please
 2 years ago

ali.athar Group TitleBest ResponseYou've already chosen the best response.0
2 ali.athar 0 limx→1x3−1/x2−1 someone solve this question
 2 years ago

robtobey Group TitleBest ResponseYou've already chosen the best response.0
From Mathematica:\[\text{Limit}\left[x^3\frac{1}{x^2}1,x\to 1\right]=1 \]
 2 years ago

ali.athar Group TitleBest ResponseYou've already chosen the best response.0
0 2 ali.athar 0 limx→1 x3−1/x2−1
 2 years ago

ali.athar Group TitleBest ResponseYou've already chosen the best response.0
\[\lim_{x \rightarrow 2} x ^{3}8/x ^{2}+x ^{}6\]
 2 years ago

moneybird Group TitleBest ResponseYou've already chosen the best response.5
x^3  8 = (x2) (x^2 + 2x + 4) x^2 + x  6 = (x+3)(x2) x2 cancels out (x^2 + 2x + 4)/(x+3) = (4 + 4 + 4 )/ 5 = 12/5
 2 years ago
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