Tính
\(\dfrac{1}{x^2+7x+10}+\dfrac{1}{x^2+13x+40}+\dfrac{1}{x^2+19x+88}+\dfrac{1}{x^2+25x+154}\)
(1/22-1)(1/32-1)...(1/92-1) (1/102-1)(40/11 x-20)
=40(x-3)+5
Giải các phương trình sau:
a) \(\dfrac{x+1}{35}+\dfrac{x+3}{33}=\dfrac{x+5}{31}+\dfrac{x+7}{29}\)
b) \(\dfrac{x-10}{1994}+\dfrac{x-8}{1996}+\dfrac{x-6}{1998}+\dfrac{x-4}{2000}+\dfrac{x-2}{2002}=\dfrac{x-2002}{2}+\dfrac{x-2000}{4}+\dfrac{x-1998}{6}+\dfrac{x-1996}{8}+\dfrac{x-1994}{10}\)
giải phương trình sau
1) \(\dfrac{x}{45}+\dfrac{x}{40}=\dfrac{1}{6}\)
a. x(x-1)(x+1)(x+2)=24
b.\(\dfrac{1}{x^2-5x+6}+\dfrac{1}{x^2-7x+12}+\dfrac{1}{x^2-9x+20}+\dfrac{1}{x^2-11x+30}=\dfrac{1}{8}\)
c.\(\dfrac{x-29}{30}+\dfrac{x-30}{29}=\dfrac{29}{x-30}+\dfrac{30}{x-29}\)
Giải các phương trình sau:
9) x-49/ 50 + x-50/ 49 = 49/ x-50 + 50/ x-49
7) x+25/ 75 + x+30/70 = x+35/65 + x+40/60
8) 99-x/101 + 97-x/103 + 95-x/105 + 93-x/107 = 4
10) x+14/86 + x+15/85 + x+16/84 + x+17/83 + x+116/4 = 0
Rút gọn các phân thức sau :
a) A=\(\dfrac{x^{39}+x^{36}+x^{33}+...+x^3+1}{x^{40}+x^{38}+x^{36}+...+x^2+1}\)
b) B=\(\dfrac{x^{95}+x^{94}+x^{93}+...+x+1}{x^{31}+x^{30}+...+x+1}\)
I. Giải các phương trình sau
a)x-(x/2-3+x/4)/2 = 2x - (10x-7x/3)/2 - x -1
b) 3/10×(1,2- x)-5+7x/4=1/20×(9x+0,2) - 12,5x+4,5/5
II. Giải các phương trình sau
a) 25x - 655/95-5×(x-12)/209= 89-3x-2(x-18)/5
b)8×(x+22)/45{7x+149+[6×(x+12)/5]}/9 = [x+35+2×(x+50)/9]/5
c) [x+2(3-x)/5]/14- [5x - 4(x-1)]/24 = (7x+2+9-3x/5)/12 + 2/3
III. Giải phương trình sau:
(59-x/41) + (57-x/43) + (55-x/45) + (53-x/47) + (51-x/49)=-5
Giải phương trình:
a.\(\dfrac{10-x}{100}+\dfrac{20-x}{110}+\dfrac{30-x}{120}=3\)
