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a: Để A nguyên thì 2 chia hết cho x
=>\(x\in\left\{1;-1;2;-2\right\}\)
b: Để B nguyên thì \(1-x\in\left\{1;-1;3;-3\right\}\)
=>\(x\in\left\{0;2;-2;4\right\}\)
c: C nguyên thì \(2x+7\in\left\{1;-1;5;-5\right\}\)
=>\(x\in\left\{-3;-4;-1;-6\right\}\)
d: D nguyên
=>x+1+1 chia hết cho x+1
=>\(x+1\in\left\{1;-1\right\}\)
=>\(x\in\left\{0;-2\right\}\)
e: E nguyên
=>x-1+5 chia hết cho x-1
=>\(x-1\in\left\{1;-1;5;-5\right\}\)
=>\(x\in\left\{2;0;6;-4\right\}\)
f: G nguyên
=>2x+6 chia hết cho 2x-1
=>2x-1+7 chia hết cho 2x-1
=>\(2x-1\in\left\{1;-1;7;-7\right\}\)
=>\(x\in\left\{1;0;4;-3\right\}\)
h: H nguyên
=>11x+22-37 chia hết cho x+2
=>\(x+2\in\left\{1;-1;37;-37\right\}\)
=>\(x\in\left\{-1;-3;35;-39\right\}\)
a) \(2\dfrac{3}{4}-x=\dfrac{3}{4}\)
\(\Rightarrow\dfrac{11}{4}-x=\dfrac{3}{4}\)
\(\Rightarrow x=\dfrac{11}{4}-\dfrac{3}{4}=\dfrac{8}{4}=2\)
b) \(x:\dfrac{5}{6}=-\dfrac{3}{5}\)
\(\Rightarrow x=-\dfrac{3}{5}.\dfrac{5}{6}=-\dfrac{15}{30}=-\dfrac{1}{2}\)
c) \(1\dfrac{1}{3}+\dfrac{2}{3}:x=1\)
\(\Rightarrow\dfrac{2}{3}:x=1-1\dfrac{1}{3}\)
\(\Rightarrow\dfrac{2}{3}:x=-\dfrac{1}{3}\)
\(\Rightarrow x=\dfrac{2}{3}:-\dfrac{1}{3}\)
\(\Rightarrow x=-2\)
d) \(x-\dfrac{1}{9}=\dfrac{8}{3}\)
\(\Rightarrow x=\dfrac{8}{3}+\dfrac{1}{9}\)
\(\Rightarrow x=\dfrac{25}{9}\)
e) \(\dfrac{1}{2}x+650\%x-x=-6\)
\(\Rightarrow\dfrac{1}{2}x+\dfrac{13}{2}x-x=-6\)
\(\Rightarrow x\left(\dfrac{1}{2}+\dfrac{13}{2}-1\right)-6\)
\(\Rightarrow6x=-6\)
\(\Rightarrow x=\dfrac{-6}{6}=-1\)
g) \(2\left(x-\dfrac{1}{2}\right)+3\left(-1+\dfrac{x}{3}\right)=x\left(\dfrac{2}{x}-1\right)\) \(\text{Đ}K:x\ne0\)
\(\Rightarrow2x-1-3+x=2-x\)
\(\Rightarrow3x-4=2-x\)
\(\Rightarrow3x+x=2+4\)
\(\Rightarrow4x=6\)
\(\Rightarrow x=\dfrac{6}{4}=\dfrac{3}{2}\)
