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(x+1)+(x+3)+(x+5)+....+(x+19)=350
x =350-(1+3+5+.................+19)
x =350-100
x =250:10
x =25
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Bước 1: \(\left(\frac{1}{3\times5}+\frac{1}{5\times7}+\frac{1}{7\times9}+...+\frac{1}{19\times21}\right)=\frac{1}{7}\)
Bước 2: \(x=\frac{9}{7}\div\frac{1}{7}=9\)
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Lời giải:
$x-\frac{1}{3}+x-\frac{1}{5}+x-\frac{1}{7}+x-\frac{1}{9}=0$
$(x+x+x+x)-(\frac{1}{3}+\\frac{1}{5}+\frac{1}{7}+\frac{1}{9})=0$
$4\times x-\frac{248}{315}=0$
$4x=\frac{248}{315}$
$x=\frac{248}{315}:4=\frac{62}{315}$
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( x + 1 ) + ( x + 3 ) + ( x + 5 ) + ............. + ( x + 19 ) = 245
( x + x + x + ... + x ) + ( 1 + 3 + 5 + .. + 19 ) = 245
x * 10 + 100 = 245
x * 10 = 245 - 100
x * 10 = 145
x = 145 : 10
x = 14,5
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\(\frac{7}{4}-x\cdot\frac{4}{3}=\frac{5}{19}\)
\(\Rightarrow-x\cdot\frac{4}{3}=\frac{5}{19}-\frac{7}{4}\)
\(\Rightarrow-x\cdot\frac{4}{3}=-\frac{113}{76}\)
\(\Rightarrow x\cdot\frac{4}{3}=\frac{113}{76}\)
\(\Rightarrow x=\frac{113}{76}:\frac{4}{3}=\frac{339}{304}\)
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a) 15 + 3 ( x - 1 ) = 36
3 ( x - 1 ) = 36 - 15
3 ( x - 1 ) = 21
x - 1 = 21 : 3
x - 1 = 7
x = 7+1
x = 8
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\(=\frac{6}{5}.\frac{7}{6}.\frac{8}{7}............\frac{2015}{2014}=\frac{2015}{5}=403\)
=> \(\frac{6}{5}.\frac{7}{6}.\frac{8}{7}...\frac{2014}{2013}.\frac{2015}{2014}=x\)
=> \(\frac{6.7.8.9...2014.2015}{5.6.7.8...2013.2014}=x\)
=> \(x=\frac{2015}{5}=403\)
\(\left(x+1\right)+\left(x+3\right)+\left(x+5\right)+...+\left(x+19\right)=150\)
\(\left(x+x+x+...+x\right)+\left(1+3+5+...+19\right)=150\)
\(x\times10+\)\(\left[\left(19+1\right)\times10\div2\right]=150\)
\(x\times10+100=150\)
\(x\times10=150-100\)
\(x\times10=50\)
\(x=50\div10\)
\(x=5\)
\(vậyx=5\)
làm tương tự
Tim x biết : (2x-1)^2 - (x+3)^2=0?
bài làm
(2x-1)^2 - (x+3)^2 = 0
<=>(2x - 1)^2 = (x + 3)^2
<=>hoặc 2x - 1 = x + 3 hoặc 2x - 1 = -(x + 3) = -x - 3
Nếu 2x - 1 = x + 3
<=>2x - x = 3 + 1
<=>x = 4
Nếu 2x - 1 = -x - 3
<=>2x + x = +1 - 3
<=>3x = -2
<=>x = -2/3
=>Phương trình có 2 nghiệm là x = 4 và x = -2/3
công thức giải đó áp dụng vào