Tìm x biết : 3x ( 3 + 6 ) = 36
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Đặt :
\(\frac{x-4}{2}=\frac{y-6}{3}=\frac{z-8}{4}=k\)
\(\hept{\begin{cases}x-4=2k\\y-6=3k\\z-8=4k\end{cases}\Leftrightarrow\hept{\begin{cases}x=2k+4\\y=3k+6\\z=4k+8\end{cases}}}\)
\(\Rightarrow3x+2y-3z=36\Leftrightarrow3\left(2k+4\right)+2\left(3k+6\right)-3\left(4k+8\right)=36\)
\(\Leftrightarrow6k+4+6k+6-12k+8=36\)
\(\Leftrightarrow6k+4+6k+6-6k.2+8=36\)
\(\Leftrightarrow6\left[k\left(4+6-8\right)\right].2=36\)
\(\Leftrightarrow6k.2.2=36\Leftrightarrow6k.2^2=36\)
\(\Leftrightarrow6k=9\)
\(\Rightarrow k=\frac{3}{2}\)
\(\Rightarrow\hept{\begin{cases}x=\frac{3}{2}.2+4\\y=\frac{3}{2}.3+6\\z=\frac{3}{2}.4+8\end{cases}\Leftrightarrow\hept{\begin{cases}x=3+4\\y=\frac{9}{2}+6\\z=6+8\end{cases}\Leftrightarrow}\hept{\begin{cases}x=7\\y=\frac{21}{2}\\z=14\end{cases}}}\)
Vậy \(\hept{\begin{cases}x=7\\y=\frac{21}{2}\\z=14\end{cases}}\)
Nhớ k nha ,dù mk trả lời hơi muộn
a) \(x^2-36=0\)
\(\Leftrightarrow x^2=36\)
\(\Leftrightarrow x=\pm\sqrt{36}=\pm6\)
b) \(\left(3x-5\right)^2-\left(x+6\right)^2=0\)
\(\Leftrightarrow\left(3x-5-x-6\right)\left(3x-5+x+6\right)=0\)
\(\Leftrightarrow\left(2x-11\right)\left(4x+1\right)=0\)
\(\Leftrightarrow\orbr{\begin{cases}x=\frac{11}{2}\\x=\frac{-1}{4}\end{cases}}\)
\(d,\Leftrightarrow x^3-6x^2+12x-8-x^3+27+6x^2+12x+6=15\\ \Leftrightarrow24x=-10\Leftrightarrow x=-\dfrac{5}{12}\\ e,\Leftrightarrow x^3-3x^2+3x-1+8-x^3+3x^2+6x=17\\ \Leftrightarrow9x=10\Leftrightarrow x=\dfrac{10}{9}\\ f,\Leftrightarrow9x^2+18x+9-18x=36+x^3-27\\ \Leftrightarrow x^3-9x^2=0\Leftrightarrow x^2\left(x-9\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=0\\x=9\end{matrix}\right.\)
a,3x + 20 = -5x - (-36) => 3x + 20 = -5x + 36 => 8x = 16 => x=2
b,32 + x = 6 ( x +2 )=> 32 + x = 6x+12=>-5x=-20=>x=4
c,| x -2 | -3 = 5=>| x -2 | = 8 => x -2 = 8 hoặc x -2 = -8 => x=10 hoặc x=-6
a) 3x+5x=36-20 => 8x=16 => x =2 .
b) x+32=6x+12 => x-6x=12-32 => -5x=-20 => x=4
c) / x-2 / = 5+3 =8 => x-2=8 hoặc x-2=-8.
=> x=10 hoặc x=-6 .
3x ( 3+6) = 36
=> 3x . 9= 36
=> 3x = 36 :9
=> 3x = 4
=> x = 4:3 = 4/3
3x . (3 + 6) = 36
3x . 9 = 36
3x = 36 : 9
3x = 4
x = 4 : 3
x = 4/3
Ủng hộ mk nha !!! ^_^