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\(\frac{\left(1,16-x\right).5,25}{\left(10\frac{5}{9}-7\frac{1}{4}\right).2\frac{2}{17}}=75\%\) <=> \(\frac{6,09-5,25x}{\left(\frac{95}{9}-\frac{29}{4}\right).\frac{36}{17}}=\frac{3}{4}\)<=> \(\frac{6,09-5,25x}{\frac{119}{36}.\frac{36}{17}}=\frac{3}{4}\)
<=> \(\frac{6,09-5,25x}{7}=\frac{3}{4}\)<=> 4(6,09-5,25x)=21 <=> 24,36-21x=21
=> 21x=3,36 => x=3,36:21 => x=0,16
Đáp số: x=0,16
b)\(\left(x-8\right)\left(x-2\right)=0\Leftrightarrow\orbr{\begin{cases}x-8=0\\x-2=0\end{cases}}\Leftrightarrow\orbr{\begin{cases}x=8\\x=2\end{cases}}\)
c) \(\left(x+1\right)+\left(x+2\right)+...+\left(x+10\right)=9x+200\)
\(\Leftrightarrow\left(x+x+...+x\right)+\left(1+2+...+10\right)=9x+200\) (10 số hạng x)
\(\Leftrightarrow10x+55=9x+200\Leftrightarrow x+55=200\)
\(\Leftrightarrow x=145\)
\(2.x=\frac{1+2+3+...+9}{1-2+3-4+5-6+7-8+9}+\frac{25.150-60.5+20.75}{1+2+3+...+99}\)
\(2.x=\frac{\left(9+1\right).9:2}{\left(1-2\right)+\left(3-4\right)+\left(5-6\right)+\left(7-8\right)+9}+\frac{2.3.5^2.\left(5^2-2+2.5\right)}{\left(1+99\right).99:2}\)
\(2.x=\frac{45}{\left(-1\right)+\left(-1\right)+\left(-1\right)+\left(-1\right)+9}+\frac{2.3.5^2.33}{100.99.\frac{1}{2}}\)
\(2x=\frac{45}{5}+\frac{50.99}{50.2.99.\frac{1}{2}}=9+\frac{1}{2.\frac{1}{2}}=9+1=10\)
=> 2x = 10
x = 5
Ta có :\(\frac{x}{2}=\frac{36}{x+1}\)
=> x.(x+1)=2.36
=> x.(x+1)=72
mà 72= 8.9
=> x.(x+1)= 8.(8+1)
=> x = 8
Vậy x = 8
\(\frac{2}{x}=\frac{x}{8}\)
\(\Rightarrow2.8=x.x\Rightarrow16=x^2\)
\(\Rightarrow\)x = 4 hoặc x =-4
c,Ta có: (x-5)+2=0 =>(x-5)= -2 =>không tìm được x thỏa mãn
d,Ta có : (x+1)-3 = 2 => (x+1)=2+3=5
=>x+1 =5 hoặc x+1 =-5
Xét x+1=5 =>x=4(loại vì x <-1)
Xét x+1=-5 =>x= -5-1=-6 (thỏa mãn)
=>KL
\(\frac{1}{3.5}+\frac{1}{5.7}+...+\frac{1}{x\left(x+2\right)}=\frac{11}{75}\)
\(\Leftrightarrow\frac{1}{2}\left(\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{x}-\frac{1}{x+2}\right)=\frac{11}{75}\)
\(\Leftrightarrow\frac{1}{3}-\frac{1}{x+2}=\frac{11}{75}:\frac{1}{2}=\frac{22}{75}\Leftrightarrow\frac{1}{x+2}=\frac{1}{25}\Leftrightarrow x=23\)
Ta có : x+75%.x=\(\frac{-5}{8}\)
=> x+0,75.x=\(\frac{-5}{8}\)
=> x+\(\frac{3}{4}\).x=\(\frac{-5}{8}\)
=> x.(1+\(\frac{3}{4}\))=\(\frac{-5}{8}\)
=> x.\(\frac{7}{4}\)=\(\frac{-5}{8}\)
=> x=\(\frac{-5}{14}\)
Vậy x=\(\frac{-5}{14}\)
Các bạn hãy tk cho mk nha !!!