20.18 x 2 và 2/5 + 201.8 x 97/22 x 220% + 0.006 x 2018
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có phải đề là:
\(\frac{1}{2}\)+\(\frac{2}{3}\)+\(\frac{3}{4}\)+\(\frac{4}{5}\)+\(\frac{3.99}{100}\)không bạn
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a) \(\frac{a^2m-a^2n-b^2n+b^2m}{a^2+b^2}=\frac{a^2\left(m-n\right)+b^2\left(m-n\right)}{a^2+b^2}\)
\(=\frac{\left(m-n\right)\left(a^2+b^2\right)}{a^2+b^2}=m-n\)
b) \(\frac{\left(ab+bc+cd+ad\right)abcd}{\left(c+d\right)\left(a+b\right)+\left(b-c\right)\left(a-b\right)}\)
\(=\frac{\left[b.\left(a+c\right)+d.\left(a+c\right)\right].abcd}{ac+bc+da+db+ab-b^2-ca+bc}\)
\(=\frac{\left(a+c\right)\left(d+b\right)abcd}{2bc+da+db+ab-b^2}\)
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Ta có : \(x^3+3x^2+3x=0\)
\(\Leftrightarrow x.\left(x^2+3x+3\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\x^2+3x+3=0\end{cases}\Leftrightarrow}x=0\)
x3 + 3x2 + 3x = 0
<=> x( x2 + 3x + 3 ) = 0
<=> \(\orbr{\begin{cases}x=0\\x^2+3x+3=0\left(1\right)\end{cases}}\)
Ta có (1) = x2 + 3x + 3
= ( x2 + 3x + 9/4 ) + 3/4
= ( x + 3/2 )2 + 3/4 ≥ 3/4 > 0 ∀ x
=> (1) vô nghiệm
Vậy phương trình có nghiệm duy nhất là x = 0
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97 = 45 + 52 100 = 23 + 77 55 = 14 + 41
67 = 38 + 29 82 = 34 + 48
97=45+52 , 67=38+29 , 100=23+77 , 82=34+48 , 55=14+41
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( 2x + 1 )2 - ( x - 1 )2 = 0
<=> [ 2x + 1 - ( x - 1 ) ][ 2x + 1 + ( x - 1 ) ] = 0
<=> [ 2x + 1 - x + 1 ][ 2x + 1 + x - 1 ] = 0
<=> [ x + 2 ][ 3x ] = 0
<=> x + 2 = 0 hoặc 3x = 0
<=> x = -2 hoặc x = 0
Vậy S = { -2 ; 0 }
Bài làm :
Ta có ::
\(\left(2x+1\right)^2-\left(x-1\right)^2=0\)
\(\Leftrightarrow\left(2x+1+x-1\right)\left(2x+1-x+1\right)=0\)
\(\Leftrightarrow3x\left(x+2\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}3x=0\\x+2=0\end{cases}}\)
\(\Leftrightarrow\orbr{\begin{cases}x=0\\x=-2\end{cases}}\)
Chúc bạn học tốt !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
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5/4-yx5/6=-1/12
5/4-y = -1/12:5/6
5/4-y = -1/10
y = 5/4-(-1/10)
y = 27/20
\(\frac{5}{4}-y.\frac{5}{6}=\frac{1}{4}-\frac{1}{3}\)
\(\Rightarrow\frac{5}{4}-y.\frac{5}{6}=-\frac{1}{12}\)
\(\Rightarrow y.\frac{5}{6}=\frac{5}{4}-\left(-\frac{1}{12}\right)\)
\(\Rightarrow y.\frac{5}{6}=\frac{5}{4}+\frac{1}{12}\)
\(\Rightarrow y.\frac{5}{6}=\frac{4}{3}\)
\(\Rightarrow y=\frac{4}{3}:\frac{5}{6}\)
\(\Rightarrow y=\frac{8}{5}\)
Vậy \(y=\frac{8}{5}.\)
bn vt hỗn số kiểu j dzậy????
\(20,18\cdot2\frac{2}{5}+201,8\cdot\frac{97}{22}\cdot220\%+0,006\cdot2018\)
\(=2018\cdot\frac{1}{100}\cdot2\frac{2}{5}+2018\cdot\frac{1}{10}\cdot\frac{97}{22}+\frac{6}{1000}+2018\)
\(=2018\cdot\left(\frac{1}{100}\cdot2\frac{2}{5}+\frac{1}{10}\cdot\frac{97}{22}+6\cdot\frac{1}{1000}\right)\)
\(=2018\cdot\left[\frac{1}{1000}\cdot\left(6+100\cdot\frac{97}{22}+10\cdot2\frac{2}{5}\right)\right]\)
\(=\frac{1009}{500}\cdot\left[10\cdot\left(10\cdot\frac{97}{22}+\frac{12}{5}\right)\right]\)
\(=\frac{1009}{50}\cdot45\frac{12}{5}=\frac{239133}{250}\)