\(\frac{x-1}{6}=\frac{-24}{1-x}\)
\(\Rightarrow\frac{x-1}{6}=\frac{24}{x-1}\)
\(\Rightarrow\left(x-1\right)^2=24.6=144\)
\(\Rightarrow\left[{}\begin{matrix}x-1=12\\x-1=-12\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=13\\x=-11\end{matrix}\right.\)
Tìm x,y biết rằng:
\(\dfrac{1+2.y}{18}=\dfrac{1+4.y}{24}=\dfrac{1+6.y}{6.x}\)
a) Tìm tập hợp các số nguyên x, biết rằng\(4\dfrac{5}{9}:2\dfrac{5}{18}-7< x< \left(3\dfrac{1}{5}:3,2+4,5.1\dfrac{31}{45}\right):\left(-21\dfrac{1}{2}\right)\)
b) tìm x, biết \(\left|x+\dfrac{1}{2}\right|+\left|x+\dfrac{1}{6}\right|+\left|x+\dfrac{1}{12}\right|+\left|x+\dfrac{1}{20}\right|+....+\left|x+\dfrac{1}{110}\right|-11x\)
c)Tính gt biểu thức \(C=2x^3-5y^3+2015\) tại x,y thỏa mãn \(\left|x-1\right|+\left(y+2\right)^{20}=0\)
Tìm x;y;z biết :
1) \(\dfrac{1+2y}{6}=\dfrac{3+4y}{5}=\dfrac{9+6y}{2x+1}\)
2) \(\dfrac{1+2y}{18}=\dfrac{1+4y}{28}=\dfrac{1+6y}{6x}\)
Tìm x biết :
\(\left|x-\dfrac{1}{2}\right|+\left|x-\dfrac{1}{3}\right|+\left|x-\dfrac{1}{4}\right|+....+\left|x-\dfrac{1}{10}\right|=2x\)
Tìm x;y;z biết
\(\dfrac{y+z+1}{x}=\dfrac{x+z+2}{y}=\dfrac{x+y-3}{z}=\dfrac{1}{x+y+z}\)
Tìm số nguyên x ,nếu biết
a, \((\dfrac {1}{2}-\dfrac {1}{6}).3^x+3^{x+1}= 3^{16}+3^{13}\)
b, \((\dfrac {1}{2}-\dfrac {1}{3}).6^{x+2}-6^x = 6^{14}-6^{13}\)
c, \((\dfrac {1}{3}+\dfrac {1}{6}).2^{x+4}-2^x=2^{13}-2^{10}\)
d, \((\dfrac {1}{2}-\dfrac {1}{6}.3^{x+4} - 4.3^x =3^{16}-4.3^{13}\)
Tìm x biết: \(\left|x+\dfrac{1}{2}\right|+\left|x+\dfrac{1}{6}\right|+\left|x+\dfrac{1}{12}\right|+\left|x+\dfrac{1}{20}\right|+...+\left|x+\dfrac{1}{110}\right|=11x\)
Tìm x biết \(\dfrac{1}{3}+\dfrac{1}{6}+\dfrac{1}{10}+......+\dfrac{2}{x.\left(x+1\right)}=\dfrac{2016}{2018}\)
Tìm số nguyên x, nếu biết
a, \((\dfrac{1}{2}-\dfrac {1}{6})3^x +3^{x+2}= 3^{16}+3^{13}\)
b, \((\dfrac {1}{2}-\dfrac{1}{3}).6^x +6^{x+2}= 6^{15}+6^{18}\)
c, \((\dfrac{1}{3}+\dfrac{1}{6})2^{x+3} -2^x = 2^{22}-2^{20}\)
Tìm x biết
\(\left|x+\dfrac{1}{2}\right|+\left|x+\dfrac{1}{6}\right|+\left|x+\dfrac{1}{12}\right|+\left|x+\dfrac{1}{20}\right|+...+\left|x+\dfrac{1}{110}\right|=11x\)
