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Câu 3:
Gọi số cuốn sách là x
THeo đề, ta có: \(x-10\in BC\left(12;14;15\right)\)
mà 800<=x<=900
nên x-10=840
=>x=850
Câu 2:
a: =>-(x+84)=-16-213=-229
=>x+84=229
=>x=145
b:=>2^x-1*2^6=2^2018
=>x+5=2018
=>x=2013
c: =>27-2*5^x-2=25
=>2*5^x-2=2
=>x-2=0
=>x=2
d: -16<=x<20
nên \(x\in\left\{-16;-15;...;18;19\right\}\)
mà x chia hết cho 4
nên \(x\in\left\{-16;-12;-8;-4;0;4;8;12;16\right\}\)
\(a,9-3^2.48\)
\(=9-9.48\)
\(=9.1-9.48\)
\(=9.\left(1-48\right)\)
\(=9.-47\)
\(=-423\)
\(b,325-5.\left[4^3-\left(27-5^2\right)\div1^{21}\right]\)
\(=325-5.\left[4^3-\left(27-25\right)\div1\right]\)
\(=325-5.\left[4^3-2\div1\right]\)
\(=325-5\left(4^3-2\right)=325-5.\left(64-2\right)\)
\(=325-5.62\)
\(=325-310=15\)
\(c,8^{12}\div8^{10}+3^2.2^3-2022^0\)
\(=8^2+9.8-1\)
\(=8^2+72-1=64+72-1\)
\(=136-1=135\)
\(d,13-12+11+10-9+8-7-7+5-4+3+2-1\)
\(=\left(13-12\right)+\left(-9+8\right)+\left(5-4\right)+\left(2-1\right)+11+10-7-7+3\)
\(=1-1+1+1+11+10-7-7+3\)
\(=13+10-14+3\)
\(=10+2\)
\(=12\)
Câu 3:
Gọi số cuốn sách là x
THeo đề, ta có: \(x-10\in BC\left(12;14;15\right)\)
mà 800<=x<=900
nên x-10=840
=>x=850
Câu 2:
a: =>-(x+84)=-16-213=-229
=>x+84=229
=>x=145
b:=>2^x-1*2^6=2^2018
=>x+5=2018
=>x=2013
c: =>27-2*5^x-2=25
=>2*5^x-2=2
=>x-2=0
=>x=2
d: -16<=x<20
nên \(x\in\left\{-16;-15;...;18;19\right\}\)
mà x chia hết cho 4
nên \(x\in\left\{-16;-12;-8;-4;0;4;8;12;16\right\}\)
Bài 8:
a: Ta có: \(A=\left(\dfrac{x-2}{x^2-1}-\dfrac{x+2}{x^2+2x+1}\right)\cdot\dfrac{x^4-2x^2+1}{2}\)
\(=\dfrac{\left(x-2\right)\left(x+1\right)-\left(x+2\right)\left(x-1\right)}{\left(x+1\right)^2\cdot\left(x-1\right)}\cdot\dfrac{\left(x-1\right)^2\cdot\left(x+1\right)^2}{2}\)
\(=\dfrac{x^2-x-2-x^2-x-2}{1}\cdot\dfrac{x-1}{2}\)
\(=\dfrac{-2x\cdot\left(x-1\right)}{2}=-x\left(x-1\right)\)
Bài 8:
a) \(A=\left(\dfrac{x-2}{x^2-1}-\dfrac{x+2}{x^2+2x+1}\right).\dfrac{x^4-2x^2+1}{2}\left(đk:x\ne1,x\ne-1\right)\)
\(=\dfrac{\left(x-2\right)\left(x+1\right)-\left(x+2\right)\left(x-1\right)}{\left(x-1\right)\left(x+1\right)^2}.\dfrac{\left(x^2-1\right)^2}{2}=\dfrac{x^2-x-2-x^2-x+2}{\left(x-1\right)\left(x+1\right)^2}.\dfrac{\left(x-1\right)^2\left(x+1\right)^2}{2}=\dfrac{-2x\left(x-1\right)}{2}=-x^2+x\)
b) \(x^2-3x+2=0\Leftrightarrow\left(x-1\right)\left(x-2\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=2\end{matrix}\right.\)\(\Leftrightarrow x=2\)(do đkxđ của A là \(x\ne1\))
\(A=-x^2+x=-2^2+2=-2\)
c) Do \(A=-x^2+x\in Z\forall x\in Z\)
\(\Rightarrow A\in Z\Leftrightarrow x\in Z\)
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bn ơi! mik ko hỉu