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GTNN (A)=3178+2017 khi x=0 ko co GTLN
GTLN(b)=2017 khi x=-3 va y=5 khong co GTNN
GTNN(c)=2018 khi x=-1 va y=5 khong co GTLN
neu can giai thich thi h
ko thi thoi
em cũng muốn làm phước giúp chị lắm chứ nhưng em mới ở lớp 6 thui
a) \(...\Rightarrow\left\{{}\begin{matrix}x-2=0\\y+3=0\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x=2\\y=-3\end{matrix}\right.\)
b) \(...\Rightarrow|x-2|=|x+3|\Rightarrow\left[{}\begin{matrix}x-2=x+3\\x-2=-x-3\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}0x=5\\2x=-1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x\in\varnothing\\x=-\dfrac{1}{2}\end{matrix}\right.\)
\(\Rightarrow x=-\dfrac{1}{2}\)
c) \(|x-\dfrac{3}{4}|+|x+\dfrac{5}{4}|=1\)
\(\Rightarrow\left\{{}\begin{matrix}x-\dfrac{3}{4}\le0\\x+\dfrac{5}{4}\ge0\end{matrix}\right.\)
\(\Rightarrow\left\{{}\begin{matrix}x\le\dfrac{3}{4}\\x\ge-\dfrac{5}{4}\end{matrix}\right.\)
\(\Rightarrow-\dfrac{5}{4}\le x\le\dfrac{3}{4}\)
\(\left|2x+3\right|-2\left|4-x\right|=5\)
\(\Rightarrow\left|2x+3\right|-\left|8-2x\right|=5\)
\(\Rightarrow\left|2x+3\right|=5+\left|8-2x\right|\)
+) \(TH_1:2x+3\ge0\Rightarrow2x\ge3\Rightarrow x\ge\frac{3}{2}\)
\(2x+3=5+8-2x\)
\(\Rightarrow2x+2x=-3+13\)
\(\Rightarrow4x=10\)
\(\Rightarrow x=\frac{5}{2}.\)
+) \(TH_2:2x+3< 0\Rightarrow2x< -3\Rightarrow x< \frac{-3}{2}\)
\(-2x-3=5+8-2x\)
\(\Rightarrow-2x+2x=3+13\)
\(\Rightarrow0=16\) (vô lí)
Vậy \(x=\frac{5}{2}.\)
\(\Leftrightarrow3.\left(7x^2+1\right)=4.\left(8x^2-2\right)\)
\(\Leftrightarrow21x^2+3=32x^2-8\)
\(\Leftrightarrow21x^2+3-32x^2+8=0\)
\(\Leftrightarrow-11x^2+11=0\)
\(\Leftrightarrow-11\left(x^2-1\right)=0\)
\(\Leftrightarrow x^2-1=0\)
\(\Leftrightarrow x^2=1\)
\(\Leftrightarrow x=1\)
#quankun^^
\(\left(7x^2+1\right):4=\left(8x^2-2\right):3\)
\(\frac{7x^2+1}{4}=\frac{8x^2-2}{3}\)
\(\left(7x^2+1\right).3=\left(8x^2-2\right).4\)
\(21x^2+3=32x^2-2\)
\(21x^2-32x^2=-2-3\)
\(-11x^2=-5\)
\(x^2=\frac{5}{11}\)
\(x^2=\sqrt{\frac{5}{11}}=\frac{\sqrt{55}}{11}\)