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1. \(\Leftrightarrow\frac{59-x}{41}+1+\frac{57-x}{43}+1+\frac{55-x}{45}+1+\frac{51-x}{49}+1=-5+5\)
\(\Leftrightarrow\frac{100-x}{41}+\frac{100-x}{43}+\frac{100-x}{45}+\frac{100-x}{47}+\frac{100-x}{49}=0\)
\(\Leftrightarrow\left(100-x\right)\left(\frac{1}{41}+\frac{1}{43}+\frac{1}{45}+\frac{1}{47}+\frac{1}{49}\right)=0\)
\(\Leftrightarrow x-100=0\Leftrightarrow x=100\)
2. \(\Leftrightarrow\frac{x-5}{1990}+1+\frac{x-15}{1980}+1+\frac{x-25}{1970}=\frac{x-1990}{5}+1+\frac{x-1980}{15}+1+\frac{x-1970}{25}+1\)
\(\Leftrightarrow\frac{x-1995}{1990}+\frac{x-1995}{1980}+\frac{x-1995}{1970}=\frac{x-1995}{5}+\frac{x-1995}{15}+\frac{x-1995}{25}\)
\(\Leftrightarrow\frac{x-1995}{1990}+\frac{x-1995}{1980}+\frac{x-1995}{1970}-\frac{x-1995}{5}-\frac{x-1995}{15}-\frac{x-1995}{25}=0\)
\(\Leftrightarrow\left(x-1995\right)\left(\frac{1}{1990}+\frac{1}{1980}+\frac{1}{1970}-\frac{1}{5}-\frac{1}{15}-\frac{1}{25}\right)=0\)
\(\Leftrightarrow x-1995=0\Leftrightarrow x=1995\)
Bài 1:
a) −x + 8 = −17
−x = −17 − 8
−x = −25
⇒ x = 25
Vậy x = 25
b) 35 − x = 37
x = 35 − 37
x = −2
Vậy x = −2
c) x − 45 = −17
x = −17 + 45
x = 28
Vậy x = 28
d) |x + 1| = 20 (>0)
TH1: x + 1 = 20 TH2: x + 1 = −20
x = 20 − 1 x = −20 − 1
x = 19 x = −21
Vậy x∈\(\left\{-21;19\right\}\)
e) |x − 3| − 16 = −4
|x − 3| = −4 + 16
|x − 3| = 12 (>0)
TH1: x − 3 = 12 TH2: x − 3 = −12
x = 12+3 x = −12 + 3
x = 15 x = −9
Vậy x∈\(\left\{-9;15\right\}\)
2 x X + 68 = 126
2 x X = 126 - 68
2 x X = 58
x = 58 : 2
x = 29
\(\Rightarrow\left(\frac{\frac{31}{36}}{\frac{11}{9}:4-\frac{3}{4}}:31\right).x=\frac{-1}{16}\Rightarrow\left(\frac{\frac{31}{36}}{\frac{-4}{9}}:31\right)x=-\frac{1}{16}\Rightarrow\left(-\frac{31}{16}:31\right)x=-\frac{1}{16}\Rightarrow-\frac{1}{16}x=-\frac{1}{16}\Rightarrow x=1\)
(Lần sau, "bé" nhớ sử dụng công cụ công thức trực quan nhé, dịch của "bé" mình mệt ghê :V)
a,
\(\frac{x+1}{55}+\frac{x+3}{53}+\frac{x+5}{51}=\frac{x+7}{49}+\frac{x+9}{47}+\frac{x+11}{45}\\ \Leftrightarrow\frac{x+1}{55}+1+\frac{x+3}{53}+1+\frac{x+5}{51}+1=\frac{x+7}{49}+1+\frac{x+9}{47}+1+\frac{x+11}{45}+1\\ \Leftrightarrow\frac{x+56}{55}+\frac{x+56}{53}+\frac{x+56}{51}=\frac{x+56}{49}+\frac{x+56}{47}+\frac{x+56}{45}\\ \Leftrightarrow\left(x+56\right)\left(\frac{1}{55}+\frac{1}{53}+\frac{1}{51}-\frac{1}{49}-\frac{1}{47}-\frac{1}{45}\right)=0\)
And... u know dat right? ( ͡~ ͜ʖ ͡°)
b,
\(\frac{x+29}{31}-\frac{x+27}{33}=\frac{x+17}{43}-\frac{x+15}{45}\\ \Leftrightarrow\frac{x+29}{31}+1-\frac{x+27}{33}+1=\frac{x+17}{43}+1-\frac{x+15}{45}+1\\ \Leftrightarrow\frac{x+60}{31}-\frac{x+60}{33}=\frac{x+60}{43}-\frac{x+60}{45}\\ \Leftrightarrow\left(x+60\right)\left(\frac{1}{31}-\frac{1}{33}-\frac{1}{43}+\frac{1}{45}\right)=0\)
Ok, phần còn lại là của bạn nhé. :)
Chúc bạn học tốt nha.
a) 461+x-45=387
<=> 416+x=387
<=> x= -28
b) 11+53-x=97
<=> 64-x=97
<=>x=-33
c) -x-84+213=-16
<=>-x+129=-16
<=> x=145