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Nếu: 3x - |x - 15| = 5/4
=> |x - 15| = 3x - 5/4
Đk: 3x - 5/4 ≥ 0 => 3x ≥ 5/4 => x ≥ 5/12
Ta có: |x - 15| = 3x - 5/4
\(\Rightarrow\orbr{\begin{cases}x-15=3x-\frac{5}{4}\\x-15=-3x+\frac{5}{4}\end{cases}\Rightarrow}\orbr{\begin{cases}-2x=\frac{55}{4}\\4x=\frac{65}{4}\end{cases}\Rightarrow\orbr{\begin{cases}x=-\frac{55}{8}\left(ktm\right)\\x=\frac{65}{16}\left(tm\right)\end{cases}}}\)
Vậy...
Nếu đề là 3x - |x + 15| = 5/4 thì cách giải tương tự
\(\frac{\left(-3\right)^{10}\cdot15^5}{25^3\cdot\left(-9\right)^7}\)
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a. 2(x-1) + (x+2) - (x+3) = 15 - (x+1)
=>2x-2+x+2-x-3=15-x-1
=>(2x+x-x)-2+2-3=15-1-x
=>2x-3=14-x
=>3x=17
=>x=17/3
b. x+1/15 + x+2/14 = x+4/12 + x+5/11
\(\Rightarrow\frac{x+1}{15}+1+\frac{x+2}{14}+1=\frac{x+4}{12}+1+\frac{x+5}{11}+1\)
\(\Rightarrow\frac{x+16}{15}+\frac{x+16}{14}=\frac{x+16}{12}+\frac{x+16}{11}\)
\(\Rightarrow\frac{x+16}{15}+\frac{x+16}{14}-\frac{x+16}{12}-\frac{x+16}{11}=0\)
\(\Rightarrow\left(x+16\right)\left(\frac{1}{15}+\frac{1}{14}-\frac{1}{12}-\frac{1}{11}\right)=0\)
\(\Rightarrow x+16=0\).Do \(\frac{1}{15}+\frac{1}{14}-\frac{1}{12}-\frac{1}{11}\ne0\)
=>x=-16
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=>x/28=y/20
=>y/20=z/15
=.x/28=y/20=z/15
=>x+y+z/63=15/63
đen day cau bt lm roi chu
Áp dụng t/c dãy tỉ số bằng nhau ta có
x/7=y/5+z/3= x+y+z/7+5+3= 15/15=1
Từ x/7 = 1 => x=7
=>y/5=1=>y=5
=> z/3=1 =>z=3
Vậy x=7;y=5 ; z=3
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Đặt \(\frac{x}{5}=\frac{y}{-4}=\frac{z}{6}=k\)
=> \(\hept{\begin{cases}x=5k\\y=-4k\\z=6k\end{cases}}\) (1)
Khi đó, ta cóL
\(\left(5k\right).\left(-4k\right).\left(6k\right)=15\)
=> \(-120k^3=15\)
=> \(k^3=-\frac{1}{8}\)
=> \(k=-\frac{1}{2}\)
Thay k = -1/2 vào (1), ta được:
x = 5 . (-1/2) = -2,5
y = -4.(-1/2) = 2
z = 6 . (-1/2) = -3
Vậy ...
b)Đặt \(\frac{x}{5}=\frac{y}{-4}=\frac{z}{6}=k\)
\(\Rightarrow x=5k;y=-4k;z=6k\)
\(\Rightarrow xyz=5k.\left(-4k\right).6k=-120k^3\)
\(\Rightarrow15=-120k^3\)
\(\Rightarrow k^3=-\frac{1}{8}\Rightarrow k=-\frac{1}{2}\)
Từ \(\frac{x}{5}=-\frac{1}{2}\Rightarrow x=5\)
\(\frac{y}{-4}=-\frac{1}{2}\Rightarrow y=2\)
\(\frac{z}{6}=-\frac{1}{2}\Rightarrow z=-3\)
Vậy x = 5 ; y = -2 ; z = -3
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đặt : x/5=y/-4=z/6=k
ta có :
x=5k
y=-4k
z=6k
=>x.y.z=5k.-4y.6z=15
=>(5.6.-4).k^3=15
=>-120.k^3=15
=>k^3=15:-120
=>k^3=-0,125
=>k=-0,5
=>x/5=-0,5=>x=-2,5
=>y/-4=-0,5=>y=2
=>z/6=-0,5=>z=-3
\(\Rightarrow x=-\dfrac{4}{5}.15=-12\)