x+\(\frac{1}{2}\) .x-25%.x=10
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\(x\ne\left\{-2;\pm5\right\}\)
\(\frac{x+9}{\left(x+2\right)\left(x-5\right)}-\frac{x+15}{\left(x+5\right)\left(x-5\right)}-\frac{1}{x+2}=0\)
\(\Leftrightarrow\frac{\left(x+9\right)\left(x+5\right)}{\left(x+2\right)\left(x^2-25\right)}-\frac{\left(x+15\right)\left(x+2\right)}{\left(x+2\right)\left(x^2-25\right)}-\frac{x^2-25}{\left(x+2\right)\left(x^2-25\right)}=0\)
\(\Leftrightarrow x^2+14x+45-\left(x^2+17x+30\right)-x^2+25=0\)
\(\Leftrightarrow-x^2-3x+40=0\Rightarrow\left[{}\begin{matrix}x=5\left(l\right)\\x=-8\end{matrix}\right.\)

a, \(\frac{x+4}{x^2-1}-\frac{x-5}{x^2-x}\)
\(=\frac{x+4}{\left(x-1\right)\left(x+1\right)}-\frac{x-5}{x\left(x-1\right)}\)
\(=\frac{\left(x+4\right)\left(x^2-x\right)-\left(x-5\right)\left(x^2-1\right)}{\left(x-1\right)\left(x+1-x\right)}\)
\(=\frac{\left(x^3+4x^2-x^2-4x\right)-\left(x^3-5x^2-x+5\right)}{x^2-x+x-1-x^2+x}\)
\(=\frac{x^3+4x^2-x^2-4x-x^3-5x^2-x+5}{x-1}\)
\(=\frac{-2x^2-5x+5}{x-1}=\frac{-2x^2}{x-1}-\frac{5\left(x-1\right)}{\left(x-1\right)}=\frac{-2x^2}{x-1}-5\)
bn ơi mình để ý kĩ thì dấu "=" thứ 4 của bạn chưa chuyển dấu

\(x+\frac{1}{2}x-25\%x=10\)
=> \(x+\frac{1}{2}x-\frac{1}{4}x=10\)
=> \(\left(1+\frac{1}{2}-\frac{1}{4}\right)x=10\)
=> \(\frac{5}{4}x=10\)
=> \(x=10:\frac{5}{4}=10\cdot\frac{4}{5}=8\)
x+1/2x-25%x=10
x+1/2x-1/4x=10
x(1+1/2-1/4)=10
x.5/4=10
x=10:5/4
x=8
Chúc bạn học tốt !

\(\begin{array}{l}a)\frac{{4{\rm{x}} - 6}}{{5{{\rm{x}}^2} - x}}.\frac{{25{{\rm{x}}^2} - 10{\rm{x}} + 1}}{{27 + 8{{\rm{x}}^3}}}\\ = \frac{{ - 2\left( {3 - 2{\rm{x}}} \right)}}{{x\left( {5{\rm{x}} - 1} \right)}}.\frac{{{{\left( {5{\rm{x}} - 1} \right)}^2}}}{{\left( {3 - 2{\rm{x}}} \right)\left( {9 + 6{\rm{x}} + 4{{\rm{x}}^2}} \right)}}\\ = \frac{{ - 2\left( {5{\rm{x}} - 1} \right)}}{{x\left( {9 + 6{\rm{x}} + 4{{\rm{x}}^2}} \right)}}\\b)\frac{{2{\rm{x}} + 10}}{{{{\left( {x - 3} \right)}^2}}}:\frac{{{{\left( {x + 5} \right)}^3}}}{{{x^2} - 9}}\\ = \frac{{2{\rm{x}} + 10}}{{{{\left( {x - 3} \right)}^2}}}.\frac{{{x^2} - 9}}{{{{\left( {x + 5} \right)}^2}}}\\ = \frac{{2\left( {x + 5} \right)\left( {x - 3} \right)\left( {x + 3} \right)}}{{{{\left( {x - 3} \right)}^2}{{\left( {x + 5} \right)}^3}}}\\ = \frac{{2\left( {x + 3} \right)}}{{\left( {x - 3} \right){{\left( {x + 5} \right)}^2}}}\end{array}\)

a) \(\left(\frac{1}{16}\right)^x=\left(\frac{1}{2}\right)^{10}\)
\(\left(\frac{1}{2}\right)^{4x}=\left(\frac{1}{2}\right)^{10}\)
\(\Rightarrow4x=10\)
x = 2,5

a) \(\frac{1}{2}\times x-3=6\)
=> \(\frac{1}{2}\times x=6+3\)
=> \(\frac{1}{2}\times x=9\)
=>\(x=9:\frac{1}{2}\)
=> \(x=18\)
b) \(2:x=\frac{2}{5}--\frac{1}{10}\)
=> \(2:x=\frac{2}{5}+\frac{1}{10}\)
=> \(2:x=\frac{1}{2}\)
=> \(x=2:\frac{1}{2}\)
=> \(x=4\)
c) \(25-\left(2\frac{1}{2}+x\right)=10\)
=> \(2\frac{1}{2}+x=25-10\)
=> \(\frac{5}{2}+x=15\)
=>\(x=15-\frac{5}{2}\)
=> \(x=\frac{25}{2}\)
d) \(\left(x-\frac{3}{4}\right)\times3-45:9=10\)
=> \(\left(x-\frac{3}{4}\right)\times3-5=10\)
=> \(\left(x-\frac{3}{4}\right)\times3=10+5\)
=> \(\left(x-\frac{3}{4}\right)\times3=15\)
=> \(\left(x-\frac{3}{4}\right)=15:3\)
=> \(\left(x-\frac{3}{4}\right)=5\)
=> \(x=5+\frac{3}{4}\)
=> \(x=\frac{23}{4}\)
\(a,\frac{1}{2}.x-3=6\Rightarrow\frac{x}{2}=9\Rightarrow x=18\)
\(b,2:x=\frac{2}{5}-\frac{1}{10}\Rightarrow\frac{2}{x}=\frac{9}{10}\Rightarrow x=\frac{2.10}{9}=\frac{20}{9}\)
\(c,25-\left(2\frac{1}{2}+x\right)=10\Rightarrow25-\frac{5}{2}+x=10\Rightarrow x=10+\frac{5}{2}-25=-\frac{25}{2}\)
\(d,\left(x-\frac{3}{4}\right).3-45:9=10\Rightarrow\left(x-\frac{3}{4}\right).3-5=10\Rightarrow\left(x-\frac{3}{4}\right).3=15\Rightarrow x-\frac{3}{4}=5\Rightarrow x=\frac{23}{4}\)
Bài làm:
Đề ra = x +1/2 .x - 0,25 .x =10
=> x .( 1 +1/2 -0,25) =10
=> 1,25 .x =10
=> x = 10 :1,25
=> x =8
#Chúc bạn học tốt :))
x+1/2x-25%x=10
<=>x(1+1/2-1/4)=10
<=>x.5/4=10
<=>x=8
Vậy x=8