Question Number 158067 by ajfour last updated on 30/Oct/21
![f(x)=((4/9))(((ωx+2)^2 )/([(ωx+11)^2 −117])) +((8/5))(1/([(ωx+11)^2 −117])) find real x such that f(x) is real. I dont want x=−2.](https://www.tinkutara.com/question/Q158067.png)
$$\:\:{f}\left({x}\right)=\left(\frac{\mathrm{4}}{\mathrm{9}}\right)\frac{\left(\omega{x}+\mathrm{2}\right)^{\mathrm{2}} }{\left[\left(\omega{x}+\mathrm{11}\right)^{\mathrm{2}} −\mathrm{117}\right]} \\ $$$$\:\:\:\:\:+\left(\frac{\mathrm{8}}{\mathrm{5}}\right)\frac{\mathrm{1}}{\left[\left(\omega{x}+\mathrm{11}\right)^{\mathrm{2}} −\mathrm{117}\right]} \\ $$$${find}\:{real}\:{x}\:{such}\:{that}\:{f}\left({x}\right) \\ $$$${is}\:{real}.\:\:{I}\:{dont}\:{want}\:{x}=−\mathrm{2}. \\ $$