1/ $\frac{\sqrt{12+x-x^2}}{x-11}\geqslant \frac{\sqrt{12+x-x^2}}{2x-9}$
2/ $\frac{\sqrt{2(x^2-16)}}{x-3}+\sqrt{x-3}>\frac{7-x}{\sqrt{x-3}}$
Giải bất phương trình: $\frac{\sqrt{12+x-x^2}}{x-11}\geqslant \frac{\sqrt{12+x-x^2}}{2x-9}$
Started By snowangel1103, 25-02-2013 - 22:39
#1
Posted 25-02-2013 - 22:39
#2
Posted 26-02-2013 - 17:40
1/ $\frac{\sqrt{12+x-x^2}}{x-11}\geqslant \frac{\sqrt{12+x-x^2}}{2x-9}$ $(1)$
Ta có
$(1)\Leftrightarrow \frac{\sqrt{12+x-x^{2}}(x-2)}{(x-11)(2x-9)}\geq 0 \Leftrightarrow (12+x-x^{2}=0) \vee \left\{\begin{matrix} 12+x-x^{2}>0\\ \frac{x-2}{(x-11)(2x-9)\geq 0} \end{matrix}\right.$
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