Bài này làm kiểu j
52:(x+3)=14
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a) Ta có: \(7\cdot\dfrac{3}{14}-\dfrac{1}{14}\)
\(=\dfrac{3}{2}-\dfrac{1}{14}\)
\(=\dfrac{21}{14}-\dfrac{1}{14}\)
\(=\dfrac{10}{7}\)
b) Ta có: \(\dfrac{3}{2}+\dfrac{7}{4}:\dfrac{5}{2}\)
\(=\dfrac{3}{2}+\dfrac{7}{4}\cdot\dfrac{2}{5}\)
\(=\dfrac{3}{2}+\dfrac{7}{10}\)
\(=\dfrac{15}{10}+\dfrac{7}{10}=\dfrac{22}{10}=\dfrac{11}{5}\)
Lời giải:
\(7\times \frac{3}{14}-\frac{1}{14}=\frac{7\times 3}{14}-\frac{1}{14}=\frac{21}{14}-\frac{1}{14}=\frac{21-1}{14}=\frac{20}{14}=\frac{2\times 10}{2\times 7}=\frac{10}{7}\)
\(\frac{3}{2}+\frac{7}{4}:\frac{5}{2}=\frac{3}{2}+\frac{7}{4}\times \frac{2}{5}=\frac{3}{2}+\frac{7\times 2}{4\times 5}=\frac{3}{2}+\frac{7\times 2}{2\times 2\times 5}\)
\(=\frac{3}{2}+\frac{7}{2\times 5}=\frac{3\times 5}{2\times 5}+\frac{7}{2\times 5}=\frac{3\times 5+7}{2\times 5}=\frac{22}{2\times 5}=\frac{2\times 11}{2\times 5}=\frac{11}{5}\)
a) Ta có: \(\left(2x+7\right)^2=\left(x+3\right)^2\)
\(\Leftrightarrow\left(2x+7\right)^2-\left(x+3\right)^2=0\)
\(\Leftrightarrow\left(2x+7-x-3\right)\left(2x+7+x+3\right)=0\)
\(\Leftrightarrow\left(x+4\right)\cdot\left(3x+10\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x+4=0\\3x+10=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-4\\3x=-10\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-4\\x=-\dfrac{10}{3}\end{matrix}\right.\)
Vậy: \(S=\left\{-4;-\dfrac{10}{3}\right\}\)
b) Ta có: \(\left(4x+14\right)^2=\left(7x+2\right)^2\)
\(\Leftrightarrow\left(4x+14\right)^2-\left(7x+2\right)^2=0\)
\(\Leftrightarrow\left(4x+14-7x-2\right)\left(4x+14+7x+2\right)=0\)
\(\Leftrightarrow\left(-3x+12\right)\left(11x+16\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}-3x+12=0\\11x+16=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}-3x=-12\\11x=-16\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=4\\x=-\dfrac{16}{11}\end{matrix}\right.\)Vậy: \(S=\left\{4;-\dfrac{16}{11}\right\}\)
(2x+7)2=(x+3)2
=>(2x+7)2-(x+3)2=0
=>(2x+7-x-3)(2x+7+x+3)=0
=>(x-4)(3x+10)=0
=>x-4=0 hoặc 3x+10=0
TH1:x-4=0=>x=4
TH2:3x+10=0=>x=-10/3
(4x+14)2=(7x+2)2
(4x+14)2-(7x+2)2=0
(4x+14-7x-2)(4x+14+7x+2)=0
(-3x+12)(11x+16)=0
TH1:-3x+12=0=>x=4
TH2:11x+16=0=>x=-16/11
Ta có :
\(\frac{\text{2}}{\text{8}}< \frac{ }{\text{14}}< \frac{\text{3}}{\text{8}}\)
\(=>\frac{\text{14}}{\text{56}}< \frac{\text{4 x ___}}{\text{56}}< \frac{\text{21}}{\text{56}}\)
=> 14 < 4 x ___ < 21 mà 4 x ___ là tử số của 1 phân số nên 4 x ___ ∈ N mà 4 ∈ N nên ___ ∈ N
=> 4 x ___ ∈ { 15 ; 16 ; 17 ; 18 ; 19 ; 20 }
=> ___ ∈ { 4 ; 5 } ( do ___ ∈ N )
Vậy ___ ∈ { 4 ; 5 }
các số có thể là 29;30;31;32;33;34;35;36;37;38;39;40;41
vì khi quy đồng mẫucủa các phân số ta có 28/112<...../112<42/112
HỌC TỐT NHA AAAAA
a) \(\left(x+2\right)^3-x^2.\left(x+6\right)\)
\(=x^3+6x^2+12x+8-x^3-6x^2\)
\(=12x+8\)
b) \(\left(x-2\right)\left(x+2\right)-\left(x+1\right)^3-2x.\left(x-1\right)^2\)
\(=x^2-4-x^3-3x^2-3x-1-2x^3+4x^2-2x\)
\(=-3x^3+2x^2-5x-5\)
\(52:\left(x+3\right)=14\)
\(\Rightarrow x+3=52:14=\frac{26}{7}\)
\(\Rightarrow x=\frac{26}{7}-3=\frac{5}{7}\)
Vậy \(x=\frac{5}{7}\)
52:(x+3)=14
=>x+3=52:14
=>x+3=26/7
=>x=26/7-3
=>x=5/7