Các câu hỏi tương tự
Câu 1: Tìm x biết:a)left|x+frac{1}{101}right|+left|x+frac{2}{101}right|+left|x+frac{3}{101}right|+...+left|x+frac{100}{101}right|101xb)left|x+frac{1}{1.3}right|+left|x+frac{1}{3.5}right|+left|x+frac{1}{5.7}right|+...+left|x+frac{1}{97.99}right|50xc)left|x+frac{1}{1.2}right|+left|x+frac{1}{2.3}right|+left|x+frac{1}{3.4}right|+...+left|x+frac{1}{99.100}right|100xd)left|x+frac{1}{1.5}right|+left|x+frac{1}{5.9}right|+left|x+frac{1}{9.13}right|+...+left|x+frac{1}{397.401}right|101x
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Câu 1: Tìm x biết:
a)\(\left|x+\frac{1}{101}\right|+\left|x+\frac{2}{101}\right|+\left|x+\frac{3}{101}\right|+...+\left|x+\frac{100}{101}\right|=101x\)
b)\(\left|x+\frac{1}{1.3}\right|+\left|x+\frac{1}{3.5}\right|+\left|x+\frac{1}{5.7}\right|+...+\left|x+\frac{1}{97.99}\right|=50x\)
c)\(\left|x+\frac{1}{1.2}\right|+\left|x+\frac{1}{2.3}\right|+\left|x+\frac{1}{3.4}\right|+...+\left|x+\frac{1}{99.100}\right|=100x\)
d)\(\left|x+\frac{1}{1.5}\right|+\left|x+\frac{1}{5.9}\right|+\left|x+\frac{1}{9.13}\right|+...+\left|x+\frac{1}{397.401}\right|=101x\)
giải phương trình:
\(\left(\frac{1}{1.2.3}+\frac{1}{2.3.4}+...+\frac{1}{2005.2006.2007}\right).x=\left(1.2+2.3+3.4+...+2006.2007\right)\)
Giải bất phương trình:
\(\left(1+\frac{2}{4}\right)\left(1+\frac{2}{10}\right)\left(1+\frac{2}{18}\right)...\left(1+\frac{2}{108}\right).x>\frac{x^2}{2}+3\)
Giải phương trình: \(\left(\dfrac{1}{1.2}+\dfrac{1}{3.4}+...+\dfrac{1}{99.100}\right)2013x=\dfrac{2012}{51}+\dfrac{2012}{52}+\dfrac{2012}{99}+\dfrac{2012}{100}\)
Giải phương trình \(\frac{1}{\left(x^2+5\right)\left(x^2+4\right)}+\frac{1}{\left(x^2+4\right)\left(x^2+3\right)}+\frac{1}{\left(x^2+3\right)\left(x^2+2\right)}+\frac{1}{\left(x^2+2\right)}+\frac{1}{\left(x^2+1\right)}\)
Giải phương trình:1.frac{x-5}{x-5}+frac{x-6}{x-5}+frac{x-7}{x-5}+...+frac{1}{x-5}4left(xin Nright)2.frac{1}{x^2+3x+2}+frac{1}{x^2+5x+6}+frac{1}{x^2+7x+12}+...+frac{1}{x^2+15x+56}frac{1}{14}3.left(1+frac{1}{1.3}right)left(1+frac{1}{2.4}right)left(1+frac{1}{3.5}right)...left(1+frac{1}{xleft(x+2right)}right)frac{31}{16}left(xin Nright)4.8left(x^2+frac{1}{x^2}right)-34left(x+frac{1}{x}right)+5105.6x^4-5x^3-38x^2-5x+60
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Giải phương trình:
1.\(\frac{x-5}{x-5}+\frac{x-6}{x-5}+\frac{x-7}{x-5}+...+\frac{1}{x-5}=4\left(x\in N\right)\)
2.\(\frac{1}{x^2+3x+2}+\frac{1}{x^2+5x+6}+\frac{1}{x^2+7x+12}+...+\frac{1}{x^2+15x+56}=\frac{1}{14}\)
3.\(\left(1+\frac{1}{1.3}\right)\left(1+\frac{1}{2.4}\right)\left(1+\frac{1}{3.5}\right)...\left(1+\frac{1}{x\left(x+2\right)}\right)=\frac{31}{16}\left(x\in N\right)\)
4.\(8\left(x^2+\frac{1}{x^2}\right)-34\left(x+\frac{1}{x}\right)+51=0\)
5.\(6x^4-5x^3-38x^2-5x+6=0\)
\(\left(1-\frac{2}{2.3}\right).\left(1-\frac{2}{3.4}\right).\left(1-\frac{2}{4.5}\right).......\left(1-\frac{2}{99.100}\right)\)=?
Giải bất phương trình và phương trình sau :
a, \(\left(5x-\frac{2}{3}\right)-\frac{2x^2-x}{2}\ge\frac{x\left(1-3x\right)}{3}-\frac{5x}{4}\)
b, \(\frac{x^2-4-\left|x-2\right|}{2}=x\left(x-1\right)\)
Giải bất phương trình và phương trình sau :
\(a,\left(5x-\frac{2}{3}\right)-\frac{2x^2-x}{2}\ge\frac{x\left(1-3x\right)}{3}-\frac{5x}{4}\)
\(b,\frac{x^2-4-\left|x-2\right|}{2}=x\left(x+1\right)\)