" LEAGUE OF LEGENDS "
27/06/2018 at 09:32-
\(9x^2+4y^2=20xy\)
\(\Leftrightarrow\left(3x\right)^2-12xy+\left(2y\right)^2=8xy\)
\(\Leftrightarrow\left(3x-2y\right)^2=8xy\)
\(9x^2+4y^2=20xy\)
\(\Leftrightarrow\left(3x\right)^2+12xy+\left(2y\right)^2=32xy\)
\(\Leftrightarrow\left(3x+2y\right)^2=32xy\)
\(\Rightarrow p=\sqrt{\dfrac{\left(3x-2y\right)^2}{\left(3x+2y\right)^2}}=\sqrt{\dfrac{8xy}{32xy}}=\sqrt{\dfrac{1}{4}}=\dfrac{1}{2}\)
" LEAGUE OF LEGENDS " selected this answer.