a: (x-3)(x-1)-x(x-2)=0

=>\(x^2-4x+3-x^2+2x=0\)

=>\(-2x+3=0\)

=>-2x=-3

=>\(x=\dfrac{3}{2}\)

b: \(\left(x+2y\right)^2-\left(2x-y\right)^2\)

\(=\left(x+2y+2x-y\right)\left(x+2y-2x+y\right)\)

\(=\left(3x+y\right)\left(-x+3y\right)\)

\(\left(x:32+15\right):4=24\)

\(x:32+15=24.4\)

\(x:32+15=96\)

\(x:32=96-15\)

\(x:32=81\)

\(x=81.32\)

\(x=2592\)

Sửa bài

\(\left(x:32+15\right):4=24\)

\(x:32+15=24.4\)

\(x:32+15=6\)

\(x:32=6-15\)

\(x:32=-9\)

\(x=\left(-9\right).32\)

\(x=-288\)

Bạn bỏ bài viết trên đi nhé. Dưới mới đúng á

\(\Leftrightarrow x-2015>0\left(-5< 0\right)\\ \Leftrightarrow x>2015\)

a, x x 5,8=19,72

   x=19,72:5,8

   x=3.4

b,x:5,6=34,5

  x=34,5 x 5,6

   x=193,2

\(\left(2x-6\right)\times\left(5-x\right)=0\)

\(2x-6=0;5-x=0\)

\(x=3;x=5\)

Vậy: \(x=3;x=5\)

$\left(2x-6\right)\times \left(5-x\right)=0$

$2x-6=0;5-x=0$

$x\; =3,\; x\; =\; 5$

Vậy x = 3 và 5.

Áp dụng dãy tỉ số bằng nhau:

b.

\(\dfrac{x}{2}=\dfrac{y}{-5}=\dfrac{x-y}{2-\left(-5\right)}=\dfrac{-7}{7}=-1\)

\(\Rightarrow\left\{{}\begin{matrix}x=2.\left(-1\right)=-2\\y=-5.\left(-1\right)=5\end{matrix}\right.\)

d.

\(\dfrac{4}{x}=\dfrac{7}{y}\Rightarrow\dfrac{y}{7}=\dfrac{x}{4}=\dfrac{y-x}{7-4}=\dfrac{-12}{3}=-4\)

\(\Rightarrow\left\{{}\begin{matrix}x=4.\left(-4\right)=-16\\y=7.\left(-4\right)=-28\end{matrix}\right.\)

\(a,\Leftrightarrow\left[{}\begin{matrix}x-8=0\\x^3+8=0\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=8\\x^3=-8\end{matrix}\right.\\ \Leftrightarrow\left[{}\begin{matrix}x=8\\x=-2\end{matrix}\right.\\ b,\Leftrightarrow4x-3-x-5=30-3x\\ \Leftrightarrow4x-x+3x=30+5+3\\ \Leftrightarrow6x=38\\ \Leftrightarrow x=\dfrac{19}{3}\)

\(2xy+x+2y=13\\ \Rightarrow2xy+x+2y+1-1=13\\ \Rightarrow\left(2xy+2y\right)+\left(x+1\right)=13+1\\ \Rightarrow2y\left(x+1\right)+\left(x+1\right)=14\\ \Rightarrow\left(x+1\right)\left(2y+1\right)=14\\ \Rightarrow\left(x+1\right);\left(2y+1\right)\inƯ\left(14\right)\\ \Rightarrow\left(x+1\right);\left(2y+1\right)\in\left\{-14;-7;-2;-1;1;2;7;14\right\}\)

Vì \(x,y\in N\Rightarrow\left(x;y\right)=\left(0;\dfrac{13}{2}\right),\left(1;3\right),\left(6;\dfrac{1}{2}\right),\left(13;0\right)\)

Vậy \(\left(x;y\right)=\left(0;\dfrac{13}{2}\right),\left(1;3\right),\left(6;\dfrac{1}{2}\right),\left(13;0\right)\)

sxdcc

a: \(\dfrac{x}{6}=\dfrac{8}{3}\)

=>\(x=6\cdot\dfrac{8}{3}=\dfrac{6}{3}\cdot8=8\cdot2=16\)

b: \(\dfrac{5}{x}=\dfrac{4}{9}\)

=>\(x=\dfrac{5\cdot9}{4}=\dfrac{45}{4}\)

c: \(\dfrac{x+3}{-4}=\dfrac{5}{20}\)

=>\(x+3=\dfrac{-4\cdot5}{20}=-1\)

=>x=-1-3=-4

d: \(\dfrac{7}{3+4x}=\dfrac{-2}{9}\)

=>\(4x+3=\dfrac{9\cdot7}{-2}=-\dfrac{63}{2}\)

=>\(4x=-\dfrac{63}{2}-3=-\dfrac{69}{2}\)

=>\(x=-\dfrac{69}{8}\)

f: ĐKXĐ: x<>1

\(\dfrac{3}{x-1}=\dfrac{x-1}{27}\)

=>\(\left(x-1\right)^2=3\cdot27=81\)

=>\(\left[{}\begin{matrix}x-1=9\\x-1=-9\end{matrix}\right.\)

=>\(\left[{}\begin{matrix}x=10\left(nhận\right)\\x=-8\left(nhận\right)\end{matrix}\right.\)

1.

Đặt \(x-2=t\ne0\Rightarrow x=t+2\)

\(B=\dfrac{4\left(t+2\right)^2-6\left(t+2\right)+1}{t^2}=\dfrac{4t^2+10t+5}{t^2}=\dfrac{5}{t^2}+\dfrac{2}{t}+4=5\left(\dfrac{1}{t}+\dfrac{1}{5}\right)^2+\dfrac{19}{5}\ge\dfrac{19}{5}\)

\(B_{min}=\dfrac{19}{5}\) khi \(t=-5\) hay \(x=-3\)

2.

Đặt \(x-1=t\ne0\Rightarrow x=t+1\)

\(C=\dfrac{\left(t+1\right)^2+4\left(t+1\right)-14}{t^2}=\dfrac{t^2+6t-9}{t^2}=-\dfrac{9}{t^2}+\dfrac{6}{t}+1=-\left(\dfrac{3}{t}-1\right)^2+2\le2\)

\(C_{max}=2\) khi \(t=3\) hay \(x=4\)