Mathematics, 28.11.2019 19:31 itsalee1147
i used cauchy-schwarz inequality but it took too much time to finish. is there any way faster?
Answers: 1
![u+\dfrac{1}{u}=\dfrac{5}{2}\\ \\2u^2+2=5u\ \ [\text{Multiplied by 2u}]\\ \\2u^2-5u+2=0\\ \\D=(-5)^2-4\cdot 2\cdot 2=25-16=9\\ \\\sqrt{D}=3\\ \\u_{1,2}=\dfrac{-(-5)\pm 3}{2\cdot 2}=\dfrac{5\pm 3}{4}=2,\ \dfrac{1}{2}](/tpl/images/0394/9581/f1e13.png)
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i used cauchy-schwarz inequality but it took too much time to finish. is there any way faster?
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