Tính nhanh
\(\dfrac{100}{101}\)x\(\dfrac{102}{103}\)x\(\dfrac{104}{105}\)x\(\dfrac{106}{107}\)
Calculate: \dfrac{1}{10} +\dfrac{2}{10} +\dfrac{3}{10} +\dfrac{4}{10} +\dfrac{5}{10} +\dfrac{6}{10} +\dfrac{7}{10} +\dfrac{8}{10} +\dfrac{9}{10} +\dfrac{55}{10}=101+102+103+104+105+106+107+108+109+1055=
Help me please !
\(\dfrac{x-1}{99}-\dfrac{x+1}{101}+\dfrac{x-2}{98}-\dfrac{x+2}{102}+\dfrac{x-3}{97}-\dfrac{x+3}{103}+\dfrac{x-4}{96}-\dfrac{x+4}{104}=0\)
gặp mấy dạng này + hoặc - cho 1 số nào đó là giải đc , bn tự lm xem
\(\dfrac{315-x}{101}+\dfrac{313-x}{103}+\dfrac{311-x}{105}+\dfrac{309-x}{107}+4=0\)
\(\dfrac{315-x}{101}+\dfrac{313-x}{103}+\dfrac{311-x}{105}+\dfrac{309-x}{107}+4=0\\ \Leftrightarrow\dfrac{315-x}{101}+1+\dfrac{313-x}{103}+1+\dfrac{311-x}{105}+1+\dfrac{309-x}{107}+1=0\\ \Leftrightarrow\dfrac{416-x}{101}+\dfrac{416-x}{103}+\dfrac{416-x}{105}+\dfrac{416-x}{107}=0\\ \Leftrightarrow\left(416-x\right)\left(\dfrac{1}{101}+\dfrac{1}{103}+\dfrac{1}{105}+\dfrac{1}{107}\right)=0\\ \dfrac{1}{101}+\dfrac{1}{103}+\dfrac{1}{105}+\dfrac{1}{107}>0\\ \Rightarrow416-x=0\\ \Leftrightarrow x=416\)
Giải phương trình sau:
\(\dfrac{x-2}{102}+\dfrac{x-3}{103}=\dfrac{x-4}{104}+\dfrac{x-5}{105}\)
\(\dfrac{x-2}{102}+\dfrac{x-3}{103}=\dfrac{x-4}{104}+\dfrac{x-5}{105}\)
\(\Leftrightarrow\dfrac{x-2}{102}+1+\dfrac{x-3}{103}+1=\dfrac{x-4}{104}+1+\dfrac{x-5}{105}+1\)
\(\Leftrightarrow\dfrac{x+100}{102}+\dfrac{x+100}{103}-\dfrac{x+100}{104}-\dfrac{x+100}{105}=0\)
\(\Leftrightarrow\left(x+100\right)\left(\dfrac{1}{102}+\dfrac{1}{103}-\dfrac{1}{104}-\dfrac{1}{105}\right)=0\)
\(\Leftrightarrow x+100=0\Leftrightarrow x=-100\)
Tìm x biết:
\(\dfrac{313-x}{101}+\dfrac{313-x}{103}+\dfrac{311-x}{105}+\dfrac{309-x}{107}=-4\)
Đề sai sửa lại và làm:
Ta có:
\(\dfrac{315-x}{101}+\dfrac{313-x}{103}+\dfrac{311-x}{105}+\dfrac{309-x}{107}=-4\)
\(\Leftrightarrow\left(\dfrac{315-x}{101}+1\right)+\left(\dfrac{313-x}{103}+1\right)+\left(\dfrac{311-x}{105}+1\right)+\left(\dfrac{309-x}{107}+1\right)=0\)
\(\Leftrightarrow\dfrac{416-x}{101}+\dfrac{416-x}{103}+\dfrac{416-x}{105}+\dfrac{416-x}{107}=0\)
\(\Leftrightarrow\left(416-x\right)\left(\dfrac{1}{101}+\dfrac{1}{103}+\dfrac{1}{105}+\dfrac{1}{107}\right)=0\)
\(\Leftrightarrow416-x=0\)
\(\Leftrightarrow x=416\)
VẬY....
Tìm x,biết:
\(\dfrac{315-x}{101}+\dfrac{313-x}{103}+\dfrac{311-x}{105}+\dfrac{309-x}{107}=0\)
Lời giải:
PT \(\Leftrightarrow \frac{315-x}{101}+1+\frac{313-x}{103}+1+\frac{311-x}{105}+1+\frac{309-x}{107}+1=4\)
\(\Leftrightarrow \frac{416-x}{101}+\frac{416-x}{103}+\frac{416-x}{105}+\frac{416-x}{107}=4\)
\(\Leftrightarrow (416-x)\left(\frac{1}{101}+\frac{1}{103}+\frac{1}{105}+\frac{1}{107}\right)=4\)
\(\Rightarrow 416-x=\frac{4}{\frac{1}{101}+\frac{1}{103}+\frac{1}{105}+\frac{1}{107}}\)
\(\Rightarrow x=416-\frac{4}{\frac{1}{101}+\frac{1}{103}+\frac{1}{105}+\frac{1}{107}}\)
Tìm x, biết
\(\dfrac{315-x}{101}+\dfrac{313-x}{103}+\dfrac{311-x}{105}+\dfrac{309-x}{107}=4\)
Lời giải:
\(\frac{315-x}{101}+\frac{313-x}{103}+\frac{311-x}{105}+\frac{309-x}{107}=4\)
\(\Leftrightarrow \frac{315-x}{101}-1+\frac{313-x}{103}-1+\frac{311-x}{105}-1+\frac{309-x}{107}-1=0\)
\(\Leftrightarrow \frac{416-x}{101}+\frac{416-x}{103}+\frac{416-x}{105}+\frac{416-x}{107}=0\)
\(\Leftrightarrow (416-x)\left(\frac{1}{101}+\frac{1}{103}+\frac{1}{105}+\frac{1}{107}\right)=0\)
Vì \(\frac{1}{101}+\frac{1}{103}+\frac{1}{105}+\frac{1}{107}\neq 0\) nên suy ra $416-x=0$
\(\Rightarrow x=416\)
a) Tìm x biết
\(\dfrac{315-x}{101}+\dfrac{313-x}{103}+\dfrac{311-x}{105}+\dfrac{309-x}{107}+4=0\)
b) Cho a,b,c là các số thực khác 0 thỏa mãn
\(\dfrac{a-b+c}{b}=\dfrac{a+b-c}{c}=\dfrac{-a+b+c}{a}\)
Tính giá trị của biểu thức :
P=\(\dfrac{\left(a+b\right)\left(b+c\right)\left(c+a\right)}{abc}\)
Tính 101-102-(-103)-104-(-105)-106-(-107)-108-(-109)-110
tính
101-102-(-103)-104-(-105)-106-(-107)-108-(-109)-110
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