Wlk=(Z*mp-(A-Z)*mn-mCo)*c^2

=(27*1,0073u +31*1,0087u-56,9540u)*c^2=1,5128u*c^2=1,5128*931,5

=1409,1732MeV

--->Wr=Wlk/A=1409,1732/58=24,296MeV

Bài 1: 

c: Vì a+b+c=0 nên phương trình có hai nghiệm phân biệt là 

x1=1; \(x2=\dfrac{c}{a}=\dfrac{3\sqrt{2}+1}{1-\sqrt{2}}\)

a: \(\left\{{}\begin{matrix}3x+6y=4\\x+4y=2\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}3x+6y=4\\3x+12y=6\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}-6y=-2\\x+4y=2\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=\dfrac{1}{3}\\x=\dfrac{2}{3}\end{matrix}\right.\)

Bài 4:

a: ĐKXĐ:x∉{2;-2}

\(A=\left(\frac{x}{x^2-4}+\frac{2}{2-x}+\frac{1}{x+2}\right):\left(x-2+\frac{10-x^2}{x+2}\right)\)

\(=\frac{x-2\left(x+2\right)+x-2}{\left(x-2\right)\left(x+2\right)}:\frac{\left(x-2\right)\left(x+2\right)+10-x^2}{x+2}\)

\(=\frac{2x-2-2x-4}{\left(x-2\right)\left(x+2\right)}\cdot\frac{x+2}{x^2-4+10-x^2}=\frac{-6}{6\left(x-2\right)}=\frac{-1}{x-2}\)

b: \(\left|x\right|=\frac12\)

=>\(\left[\begin{array}{l}x=\frac12\left(nhận\right)\\ x=-\frac12\left(nhận\right)\end{array}\right.\)

Thay x=1/2 vào A, ta được:

\(A=\frac{-1}{\frac12-2}=-1:\frac{-3}{2}=\frac23\)

Thay x=-1/2 vào A, ta được:

\(A=\frac{-1}{-\frac12-2}=-1:\frac{-5}{2}=\frac25\)

c: A<0

=>\(\frac{-1}{x-2}<0\)

=>x-2>0

=>x>2

Bài 3:

a: ĐKXĐ: x∉{3;-3}

\(B=\left(\frac{21}{x^2-9}-\frac{x-4}{3-x}-\frac{x-1}{x+3}\right):\left(1-\frac{1}{x+3}\right)\)

\(=\frac{21+\left(x-4\right)\left(x+3\right)-\left(x-1\right)\left(x-3\right)}{\left(x-3\right)\left(x+3\right)}:\frac{x+3-1}{x+3}\)

\(=\frac{21+x^2-x-12-\left(x^2-4x+3\right)}{\left(x-3\right)\left(x+3\right)}\cdot\frac{x+3}{x+2}\)

\(=\frac{x^2-x+9-x^2+4x-3}{\left(x-3\right)\left(x+2\right)}=\frac{3x+6}{\left(x-3\right)\left(x+2\right)}=\frac{3}{x-3}\)

b: |2x+1|=5

=>2x+1=5 hoặc 2x+1=-5

=>2x=4 hoặc 2x=-6

=>x=2(nhận) hoặc x=-3(nhận)

Thay x=2 vào B, ta được:

\(B=\frac{3}{2-3}=\frac{3}{-1}=-3\)

c: \(B=-\frac35\)

=>\(\frac{3}{x-3}=\frac{-3}{5}\)

=>x-3=-5

=>x=-2(nhận)

d: B<0

=>\(\frac{3}{x-3}<0\)

=>x-3<0

=>x<3

Kết hợp ĐKXĐ, ta được: x<3 và x<>-3

a: \(\left\{{}\begin{matrix}3x+6y=4\\x+4y=2\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}y=\dfrac{1}{3}\\x=\dfrac{2}{3}\end{matrix}\right.\)

Câu 2:

 \(2Al+3H_2SO_4\rightarrow Al_2\left(SO_4\right)_3+3H_2\)

  2a           3a              a                 3a

\(Zn+H_2SO_4\rightarrow ZnSO_4+H_2\)

 b         b                 b           b

\(n_{H_2}=\dfrac{5.6}{22.4}=0.25mol\)

Ta có: \(\left\{{}\begin{matrix}54a+65b=9.2\\3a+b=0.25\end{matrix}\right.\)\(\Leftrightarrow\left\{{}\begin{matrix}a=0.05\\b=0.1\end{matrix}\right.\)

a.\(\%m_{Al}=\dfrac{0.05\times54\times100}{9.2}=29.3\%\)

\(\%m_{Zn}=100-29.3=70.7\%\)

Vdd sau phản ứng = 9.2 + 600 - 0.0056 = 609.2ml

\(CM_{Al_2\left(SO_4\right)_3}=\dfrac{0.05}{0.6092}=0.08M\)

\(CM_{ZnSO_4}=\dfrac{0.1}{0.6092}=0.16M\)

Câu 3: 

\(Mg+H_2SO_4\rightarrow MgSO_4+H_2\)

 0.2       0.2            0.2          0.2

\(FeO+H_2SO_4\rightarrow FeSO_4+H_2O\)

\(n_{H_2}=\dfrac{4.48}{22.4}=0.2mol\)

a. \(\%m_{Mg}=\dfrac{0.2\times24\times100}{12}=40g\)

\(\%m_{FeO}=100-40=60\%\)

b. \(n_{FeO}=\dfrac{12-0.2\times24}{72}=0.1mol\)

m muối khan \(=m_{MgSO_4}+m_{FeSO_4}=0.2\times120+0.1\times152=39.2g\)

\(C2:y=ax^2+bx+c\) \(\left(P\right)\) \(đi\) \(qua\)\(M\left(1;5\right)vàN\left(-2;8\right)\)

\(\Rightarrow\left\{{}\begin{matrix}a+b+2=5\\4a-2b+2=8\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}a=2\\b=1\end{matrix}\right.\) \(\Rightarrow S=3a+4b+c=3.2+4+2=12\)

\(C3a,\Rightarrow\left\{{}\begin{matrix}\overrightarrow{AB}\left(2;-4\right)\\\overrightarrow{AC}\left(2;-1\right)\end{matrix}\right.\)

\(b,D\left(xo;yo\right)\Rightarrow ABCD\) \(là\) \(hbh\Leftrightarrow\overrightarrow{AB}=\overrightarrow{DC}\Leftrightarrow\left\{{}\begin{matrix}3-xo=2\\1-yo=-4\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}xo=1\\yo=5\end{matrix}\right.\) \(\Rightarrow D\left(1;5\right)\)