giải hpt

a)\(\left\{{}\begin{matrix}\sqrt{3}x-2\sqrt{2}y=7\\\sqrt{2}x+3\sqrt{3}y=-2\sqrt{6}\end{matrix}\right.\)

b)\(\left\{{}\begin{matrix}\left(\sqrt{2}+1\right)x-\left(2-\sqrt{3}\right)y=2\\\left(2+\sqrt{3}\right)x+\left(\sqrt{2}-1\right)y=2\end{matrix}\right.\)

giải hpt

a) \(\left\{{}\begin{matrix}\frac{5}{x-1}+\frac{1}{y-1}=10\\\frac{1}{x-1}-\frac{3}{y-1}=18\end{matrix}\right.\)

b)\(\left\{{}\begin{matrix}\frac{7}{\sqrt{x-7}}-\frac{4}{\sqrt{y+6}}=\frac{5}{2}\\\frac{5}{\sqrt{x-7}}+\frac{3}{\sqrt{y+6}}=\frac{13}{6}\end{matrix}\right.\)

cho hpt \(\left\{{}\begin{matrix}x-my=2\\mx-4y=m-2\end{matrix}\right.\)

a) giải hpt khi m=1

b)tìm m để hpt có ngh duy nhất thỏa mãn y>0

\(\left\{{}\begin{matrix}x+my=3\\mx+y=-3\end{matrix}\right.\)(I)

a) giải hpt khi m=2

b) tìm m để hpt có nghiệm duy nhất thỏa mãn x>0

a) cmr (ax+by+cz)\(^2\)≤\(\left(a^2+b^2+c^2\right)\left(x^2+y^2+z^2\right)\)

b) cho a,b,c >0 tm \(a^2+b^2+c^2=1\)

cmr :\(\frac{1}{\sqrt{a^2+1}}+\frac{1}{\sqrt{b^2+1}}+\frac{1}{\sqrt{c^2+1}}\le\frac{a}{2\left(a+b+c\right)}\)

a) cho a>0 . c/m a+\(\frac{1}{4a}\ge1\)

b) với x>0 . Tìm GTLN \(\frac{16x^3-12x^2+1}{4x}+2018\)