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Thay `x = -1 ; y = 2` vào `A`, có:
`A = (-1)^2 . 2^3 + (-1) . 2`
`A = 1 . 8 - 1 . 2 = 6`
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Thay `x = 3 ; y = 2 ; z = 1` vào `B`. Ta có:
`B = 2 . 3^2 + 2^4 + 3 . 2 . 1 - 5`
`B = 2 . 9 + 16 + 6 - 5`
`B = 18 + 16 + 6 - 5 = 35`
Thay x=−1;y=2x=-1;y=2 vào A,
Ta có:A=(−1)2.23+(−1).2
A=(-1)2.23+(-1).2
A=1.8−1.2=6
A=1.8-1.2=6
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Thay x=3;y=2;z=1x=3;y=2;z=1 vào B.
Ta có:B=2.32+24+3.2.1−5
B=2.32+24+3.2.1-5
B=2.9+16+6−5B=2.9+16+6-5
B=18+16+6−5=35
a: \(A=\left(-1\right)^2\cdot2^3+\left(-1\right)\cdot2=8-2=6\)
b: \(B=2\cdot2^2+2^4+3\cdot2\cdot1-5=8+16+6-5=8+16+1=25\)
a) \(2x=5y\)⇒\(x=\dfrac{5}{2}y\)⇒\(xy=\dfrac{5}{2}y^2\)
Thay \(xy=250\), ta có:
\(250=\dfrac{5}{2}y^2\)
⇒\(y^2=100\)⇒\(y=+-10\)
+) \(y=10\text{⇒}x=250:10=25\)
+) \(y=-10\text{⇒}x=250:-10=-25\)
\(a,2x=5y\Rightarrow\dfrac{x}{5}=\dfrac{y}{2}=k\\ \Rightarrow x=5k;y=2k\\ xy=250\Rightarrow5k\cdot2k=250\Rightarrow k^2=25\Rightarrow\left[{}\begin{matrix}k=5\\k=-5\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=25;y=10\\x=-25;y=-10\end{matrix}\right.\\ b,\dfrac{x}{3}=\dfrac{y}{2}=\dfrac{z}{4}=a\Rightarrow x=3a;y=2a;z=4a\\ xyz=192\Rightarrow24a^3=192\Rightarrow a^3=8\Rightarrow a=2\\ \Rightarrow\left\{{}\begin{matrix}x=6\\y=4\\z=8\end{matrix}\right.\\ c,\Rightarrow\dfrac{x}{5}=\dfrac{y}{2}=\dfrac{z}{-3}=q\Rightarrow x=5q;y=2q;z=-3q\\ xyz=240\Rightarrow-30q^3=240\Rightarrow q^3=-8\Rightarrow q=-2\\ \Rightarrow\left\{{}\begin{matrix}x=-10\\y=-4\\z=6\end{matrix}\right.\)
Câu 1:
\(A\left(x\right)+B\left(x\right)\)
\(=\left(6x-4x^3+x-1\right)+\left(-3x-2x^3-5x^2+x+2\right)\)
\(=\left(6x+-3x+x\right)-\left(4x^3+2x^3\right)-5x^2+\left(-1+2\right)\)
\(=-6x^3-5x^2+4x+1\)
\(A\left(x\right)-B\left(x\right)\)
\(=\left(6x-4x^3+x-1\right)-\left(-3x-2x^3-5x^2+x+2\right)\)
\(=\left(-4x^3+2x^3\right)+5x^2+\left(6x+x-x\right)+\left(-1-2\right)\)
\(=-2x^3+5x^2+6x-3\)
\(Ta\) \(có:\)
\(A+B+C=x^2yz+xy^2z+xyz^2=xyz\left(x+y+z\right)=xyz.1=xyz\)
Ta có : \(A=\frac{2019}{x+xy+1}+\frac{2019}{y+yz+1}+\frac{2019}{z+zx+1}=2019\left(\frac{1}{x+xy+1}+\frac{1}{y+yz+1}+\frac{1}{z+zx+1}\right)\)
\(=2019\left(\frac{z}{xz+xyz+z}+\frac{xz}{xyz+xyz^2+xz}+\frac{1}{z+zx+1}\right)\)
\(=2019\left(\frac{z}{xz+z+1}+\frac{xz}{1+z+xz}+\frac{1}{z+zx+1}\right)\)(vì xyz = 1)
\(=2019\left(\frac{z+xz+1}{xz+z+1}\right)=2019\)
Vậy A = 2019
uk lạ lắm thầy giáo giang r mà hỉu dc nhiu đó thâu
khó là chỗ k3 ó bạn
Theo bài ra,ta có:
\(xyz=-20\cdot\frac{1}{2}\cdot\frac{1}{5}=-\frac{20}{10}=-2\)
\(\Rightarrow A=-2+\left(-2\right)^2+\left(-2\right)^3+.....+\left(-2\right)^{2019}\)
\(\Rightarrow-2A=\left(-2\right)^2+\left(-2\right)^3+\left(-2\right)^4+....+\left(-2\right)^{2020}\)
\(\Rightarrow-3A=-2^{2020}+2\)
\(\Rightarrow A=\frac{-2^{2020}+2}{-3}\)
x/2=y/3=z/5 và xyz +30