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d) \(2x^2+5x-7=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-\dfrac{7}{2}\end{matrix}\right.\) \(\left(a+b+c=1\right)\)
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\(\frac{10}{7}\cdot\frac{2}{3}+\frac{5}{6}:\frac{3}{10}-\frac{2}{3}\cdot\frac{3}{7}\)
\(=\left(\frac{10}{7}\cdot\frac{2}{3}-\frac{2}{3}\cdot\frac{3}{7}\right)+\frac{5}{6}\cdot\frac{10}{3}\)
\(=\frac{2}{3}\left(\frac{10}{7}-\frac{3}{7}\right)+\frac{5\cdot10}{6\cdot3}\)
\(=\frac{2}{3}\cdot1+\frac{25}{9}\)
\(=\frac{2}{3}+\frac{25}{9}\)
\(=\frac{31}{9}\)
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\(\frac{1}{7}\cdot\frac{2}{3}+\frac{5}{6}:\frac{3}{10}-\frac{2}{3}\cdot\frac{3}{7}\)
\(=\left(\frac{1}{7}\cdot\frac{2}{3}-\frac{2}{3}\cdot\frac{3}{7}\right)+\frac{5}{6}\cdot\frac{10}{3}\)
\(=\frac{2}{3}\cdot\left(-\frac{2}{7}\right)+\frac{5}{3}\cdot\frac{5}{3}\)
\(=-\frac{4}{21}+\frac{25}{6}=\frac{167}{42}\)
Xin lỗi không nhanh được
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\(=x^2-2.\frac{5}{2}x+\frac{25}{4}+\frac{23}{4}\)
\(=\left(x-\frac{5}{2}\right)^2+\frac{23}{4}\)
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Tính bằng các thuận tiện nhất: 10/7 x 2/3 + 6/5 : 3/10 - 2/3 x 3/7
trả lời:
10/7 x 2/3 + 6/5 : 3/10 - 2/3 x 3/7=10/7 x 2/3 + 6/5. 10/3 - 2/3 x 3/7=10/7 x 2/3 + 2/3.2- 2/3 x 3/7
=2/3.(10/7+2-3/7)=2/3.3=2
10/7 x 2/3 + 6/5 : 3/10 - 2/3 x 3/7
= 10/7 x 2/3 + 6/5 x 10/3 - 2/3 x 3/7
= 10/7 x 2/3 + 6/5 x 5 x 2/3 - 2/3 x 3/7
= 10/7 x 2/3 + 6 x 2/3 - 2/3 x 3/7
= 2/3 x (6 + 10/7 - 3/7)
= 2/3 x (6 + 1)
= 2/3 x 7
= 14/3
CHúc bạn học tốt
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\(a^2.a^3.a^7.b^2.b\)
\(=a^{2+3+7}.b^{2+1}\)
\(=a^{12}.b^3\)
![](https://rs.olm.vn/images/avt/0.png?1311)
Phân tích thôi hả :v
( 3x - 7 )2 - 25 = ( 3x - 7 )2 - 52 = ( 3x - 7 - 5 )( 3x - 7 + 5 ) = ( 3x - 12 )( 3x - 2 ) = 3( x - 4 )( 3x - 2 )
( x - 1/2 )2 - 9/4 = ( x - 1/2 )2 - ( 3/2 )2 = ( x - 1/2 - 3/2 )( x - 1/2 + 3/2 ) = ( x - 2 )( x + 1 )
49 - ( x + 7 )2 = 72 - ( x + 7 )2 = [ 7 - ( x + 7 ) ][ 7 + ( x + 7 ) ] = ( 7 - x - 7 )( 7 + x + 7 ) = -x( x + 14 )
25 - ( x - 3 )2 = 52 - ( x - 3 )2 = [ 5 - ( x - 3 ) ][ 5 + ( x - 3 ) ] = ( 5 - x + 3 )( 5 + x - 3 ) = ( 8 - x )( x + 2 )
![](https://rs.olm.vn/images/avt/0.png?1311)
\(x + ( x + 1 ) + ( x + 2 ) + ( x + 3 ) + ..+ ( x + 99 ) = 5950\)
\(100 x + ( 1 + 2 + 3 + ... + 99 ) = 5950\)
\(100 x + 4950 = 5950\)
\(100 x = 5950 − 4950\)
\(100 x = 1000\)
\(x = 1000 : 100\)
\(x=10\)
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\(1 + 2 + 3 + ... + 99\)
Số các số hạng :\(( 99 − 1 ) : 1 + 1 = 99\) (số hạng)
Tổng:\(( 1 + 99 ) × 99 : 2 = 4950\)
`#Yaa.`
\(3x-7=2^3\)
\(3x-7=8\)
\(3x=8+7\)
\(3x=15\)
\(\Rightarrow x=5\)
ta có :