\(\left(-12\right)^2.x=56+10.13.10\)
có cả cách làm nhé
K
Khách
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GR
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GR
2
13 tháng 1 2017
ta có : 144.x=56+130.x
144.x-130.x=56
(144-130).x=56
14.x=56suy ra x=4
S
22 tháng 4 2018
\(\frac{1}{3}+\frac{1}{6}+...+\frac{2}{x\left(x+1\right)}=\frac{2003}{2009}\)
\(\Rightarrow\frac{2}{6}+\frac{2}{12}+...+\frac{2}{x\left(x+1\right)}=\frac{2003}{2009}\)
\(\Rightarrow2\left(\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+...+\frac{1}{x\left(x+1\right)}\right)=\frac{2003}{2009}\)
\(\Rightarrow2\left(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{x}-\frac{1}{x+1}\right)=\frac{2003}{2009}\)
\(\Rightarrow2\left(\frac{1}{2}-\frac{1}{x+1}\right)=\frac{2003}{2009}\)
\(\Rightarrow\frac{1}{2}-\frac{1}{x+1}=\frac{2003}{2009}\div2\)
\(\Rightarrow\frac{1}{2}-\frac{1}{x+1}=\frac{2003}{4018}\)
\(\Rightarrow\frac{1}{x+1}=\frac{1}{2}-\frac{2003}{4018}\)
\(\Rightarrow\frac{1}{x+1}=\frac{3}{2009}\)
\(\Rightarrow\frac{3}{3\left(x+1\right)}=\frac{3}{2009}\)
\(\Rightarrow3\left(x+1\right)=2009\)
\(\Rightarrow3x+3=2009\)
\(\Rightarrow3x=2006\)
\(\Rightarrow x=\frac{2006}{3}\)
6 tháng 5 2016
\(\left(x^2+2x+1\right)\left(x+2\right)+\left(x^2-2x+1\right)\left(x-2\right)=12\)
\(x^3+2x^2+x+2x^2+4x+2+x^3-2x^2+x-2x^2+4x-2=12\)
\(2x^3+10x-12=0\)
\(2x^3-2x^2+2x^2-2x+12x-12=0\)
\(2x^2\left(x-1\right)+2x\left(x-1\right)+12\left(x-1\right)=0\)
\(\left(x-1\right)\left(2x^2+2x+12\right)=0\)
\(\left(x-1\right)\times2\left(x^2+x+6\right)=0\)
\(\left(x-1\right)\left(x^2+2\times x\times\frac{1}{2}+\frac{1}{4}-\frac{1}{4}+6\right)=0\)
\(\left(x-1\right)\left(\left(x+\frac{1}{2}\right)^2+\frac{23}{4}\right)=9\)
Vế 2 >0
=> Nghiệm là x=1
14 tháng 2 2016
2.3x = 10.312 + 8.312
2.3x = (10+8).312
2.3x = 18.312
2.3x = 2.32.312
2.3x = 2.314
=> x = 14
14 tháng 2 2016
2.3^x=10.3^12+8.3^12
2.3^x=3^12.(10+8)
2.3^x=3^12.18
2.3^x=3^12.(3^2+3^2)
2.3^x=3^12.3^2+3^12.3^2
2.3^x=3^15+3^15
2.3^x=3^15.2
=> 3^x=3^15
=> x=15
MD
24 tháng 7 2016
\(=\left(x^2-11x+26+4x-14\right)\left(x^2-11x+26-4x+14\right)+16\left(x^2-7x+12\right)-60\)
\(=\left(x^2-11x+26\right)^2-\left(4x-14\right)^2+\left(16x^2-2\cdot4\cdot14x+14^2\right)-64\)
\(=\left(x^2-11x+18\right)\left(x^2-11x+34\right)-\left(4x+14\right)^2+\left(4x+14\right)^2\)
\(=\left(x^2-2x-9x+18\right)\left(x^2-11x+34\right)\)
\(=\left(x-2\right)\left(x-9\right)\left(x^2-11x+34\right)\)
E
2 tháng 5 2016
\(\left(x-2\right):\left(\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}\right)=\frac{16}{9}\)
\(\left(x-2\right):\left(\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+\frac{1}{6}-\frac{1}{7}+\frac{1}{7}-\frac{1}{8}+\frac{1}{8}-\frac{1}{9}\right)=\frac{16}{9}\)
\(\left(x-2\right):\frac{2}{9}=\frac{16}{9}\)
\(x-2=\frac{32}{91}\)
\(x=\frac{32}{91}+2\)
\(x=\frac{212}{91}\)
\(\left(-12\right)^2.x=56+10.13.10\)
\(\left(-12\right)^2.x=56+1300\)
\(\left(-12\right)^2.x=1356\)
\(-12.-12.x=1356\)
\(144.x=1356\)
\(x=1356:144\)
\(x=9,4166666666...\)
(-12)^2.x=56+10.13.10
144.x=56+1300
144.x=1356
x=1356:144
x=10