\(\frac{2}{x-3}\)+ \(\frac{x-5}{X-1}\)=1
Ai làm được tui tặng 3 tick nhé nhanh lên
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\(\frac{x}{3}=\frac{2}{3}-\frac{1}{7}\)
\(\Leftrightarrow\frac{x}{3}=\frac{11}{21}\)
\(\Leftrightarrow21x=33\)
\(\Leftrightarrow x=\frac{33}{21}=\frac{11}{7}\)
\(\frac{1}{4}+\frac{1}{3}:\left(2x-1\right)=-5\)
\(\frac{1}{3}:\left(2x-1\right)=-5-\frac{1}{4}\)
\(\frac{1}{3}:\left(2x-1\right)=-\frac{20}{4}-\frac{1}{4}\)
\(\frac{1}{3}:\left(2x-1\right)=-\frac{21}{4}\)
\(\left(2x-1\right)=\frac{1}{3}:-\frac{21}{4}\)
\(\left(2x-1\right)=\frac{1}{3}.-\frac{4}{21}\)
\(\left(2x-1\right)=-\frac{4}{63}\)
2x= -4/63 + 1
2x = 59/63
x = 59/63 : 2
x = 59/126
1/3:(2.x-1)=-5-1/4
1/3:(2.x-1)=-21/4
2.x-1=1/3:-21/4
2.x-1=-4/63
2.x=-4/63+1
2.x=\(3\frac{59}{63}\)
x=\(3\frac{59}{63}\):2
x=\(1\frac{61}{63}\)
\(\frac{x+9}{x+5}=\frac{2}{7}\)
=>7(x+9)=2(x+5)
=>7x+63=2x+10
=>63-10=2x-7x
=>53=-5x
=>x=-53/5
\(\frac{x-1}{3}+\frac{1}{y}=\frac{-1}{6}\)
\(\frac{\left(x-1\right)y}{3y}+\frac{3}{3y}=\frac{-1}{6}\)
\(\frac{\left(x-1\right)y+3}{3y}=\frac{-1}{6}\)
\(\frac{\left(x-1\right)y}{y}=\frac{\left(-1\right)-3}{6:3}\)
\(x-1=-2\)
\(x=\left(-2\right)+1\)
\(x=-1\)
\(\frac{x-1}{3}+\frac{1}{y}=\frac{-1}{6}\)
\(\frac{\left(x-1\right)y}{3y}+\frac{3}{3y}=\frac{-1}{6}\)
\(\frac{\left(x-1\right)y+3}{3y}=\frac{-1}{6}\)
\(x-1=\frac{\left(-1\right)-3}{6:3}\)
\(x-1=-2\)
\(x=\left(-2\right)+1\)
\(x=-1\)
bài 2 đề ko rõ, ghii lại đi
để giải bài 1 trước đã
\(\frac{x}{4}+\frac{x}{6}=\frac{20}{3}\)
\(\frac{6x+4x}{24}=\frac{20}{3}\)
\(\frac{5x}{12}=\frac{80}{12}\)
5x = 80
x = 80/5 = 16
1) \(\frac{x}{4}+\frac{x}{6}=\frac{20}{3}\)
\(\Leftrightarrow\frac{3x}{4.3}+\frac{2x}{6.2}=\frac{20.4}{3.4}\)
\(\Leftrightarrow3x+2x=80\)
\(\Leftrightarrow x\left(3+2\right)=80\)
\(\Leftrightarrow x=\frac{80}{5}\)
\(\Leftrightarrow x=16\)
2) Theo dự kiến thì để làm xong công việc cần 9 + 15 = 24 (h)
Nhưng tổ 1 làm 6h thì chuyển việc => Tổ hai làm trong số h là: 24 - 6 = 18 (h)
#Học tốt!!!
~NTTH~
a) \(\left(\frac{2}{3}x-\frac{4}{9}\right)\left(\frac{1}{2}-\frac{3}{7}:x\right)=0\)
\(\Rightarrow\orbr{\begin{cases}\frac{2}{3}x-\frac{4}{9}=0\\\frac{1}{2}-\frac{3}{7}:x=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{2}{3}\\x=\frac{6}{7}\end{cases}}\)
Vậy \(x\in\left\{\frac{2}{3};\frac{6}{7}\right\}\)
b)
\(\frac{x+2}{327}+\frac{x+3}{326}+\frac{x+4}{325}+\frac{x+5}{324}+\frac{x+349}{5}=0\)
\(\frac{x+2}{327}+1+\frac{x+3}{326}+1+\frac{x+4}{325}+1+\frac{x+5}{324}+1+\frac{x+329}{5}+4=4\)
\(\frac{x+329}{327}+\frac{x+329}{326}+\frac{x+329}{325}+\frac{x+329}{324}+\frac{x+329}{5}=0\)
\(\left(x+329\right)\left(\frac{1}{327}+\frac{1}{326}+\frac{1}{325}+\frac{1}{324}+\frac{1}{5}\right)=0\)
Mà \(\frac{1}{327}+\frac{1}{326}+\frac{1}{325}+\frac{1}{324}+\frac{1}{5}\ne0\)
\(\Rightarrow x+329=0\)
\(\Rightarrow x=-329\)
Vậy \(x=-329\)
\(\frac{2}{x-3}+\frac{x-5}{x-1}=1\)
\(ĐKXĐ:x\ne1;x\ne3\)
\(pt\Leftrightarrow\frac{2x-2}{x^2-4x+3}+\frac{x^2-8x+15}{x^2-4x+3}=1\)
\(\Leftrightarrow\frac{x^2-6x+13}{x^2-4x+3}=1\)
\(\Leftrightarrow x^2-6x+13=x^2-4x+3\)
\(\Leftrightarrow-2x+10=0\Leftrightarrow x=-5\left(t/mđkxđ\right)\)
Vậy pt có 1 nghiệm là -5
2/x - 3 + x - 5/x - 1 = 1
2(x - 1) + (x - 5)(x - 3) = (x - 3)(x - 1)
-6x + 13 + x^2 = x^2 - 4x + 3
-6x + 13 = -4x + 3
13 = -4x + 3 + 6x
13 = 2x + 3
13 - 3 = 3x
10 = 2x
5 = x
=> x = 5