\(1,ĐK:x\ge2\\ PT\Leftrightarrow\sqrt{3x-6}+x-2-\left(\sqrt{2x-3}-1\right)=0\\ \Leftrightarrow\dfrac{3\left(x-2\right)}{\sqrt{3x-6}}+\left(x-2\right)-\dfrac{2\left(x-2\right)}{\sqrt{2x-3}+1}=0\\ \Leftrightarrow\left(x-2\right)\left(\dfrac{3}{\sqrt{3x-6}}-\dfrac{2}{\sqrt{2x-3}+1}+1\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=2\left(tm\right)\\\dfrac{3}{\sqrt{3x-6}}-\dfrac{2}{\sqrt{2x-3}+1}+1=0\left(1\right)\end{matrix}\right.\)

Với \(x>2\Leftrightarrow-\dfrac{2}{\sqrt{2x-3}+1}>-\dfrac{2}{1+1}=-1\left(3x-6\ne0\right)\)

\(\Leftrightarrow\left(1\right)>0-1+1=0\left(vn\right)\)

Vậy \(x=2\)

\(2,ĐK:x\ge-1\)

Đặt \(\left\{{}\begin{matrix}\sqrt{x+1}=a\\\sqrt{x^2-x+1}=b\end{matrix}\right.\left(a,b\ge0\right)\Leftrightarrow a^2+b^2=x^2+2\)

\(PT\Leftrightarrow2a^2+2b^2-5ab=0\\ \Leftrightarrow\left(a-2b\right)\left(2a-b\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}a=2b\\b=2a\end{matrix}\right.\)

Với \(a=2b\Leftrightarrow x+1=4x^2-4x+4\left(vn\right)\)

Với \(b=2a\Leftrightarrow4x+4=x^2-x+1\Leftrightarrow x^2-5x-3=0\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5+\sqrt{37}}{2}\left(tm\right)\\x=\dfrac{5-\sqrt{37}}{2}\left(tm\right)\end{matrix}\right.\)

Vậy ...

\(3,ĐK:x\ge-1\\ PT\Leftrightarrow3\left(x^2-x+1\right)-2\left(x+1\right)=5\sqrt{x^3+1}\) 

Đặt \(\left\{{}\begin{matrix}\sqrt{x+1}=a\\\sqrt{x^2-x+1}=b\end{matrix}\right.\left(a,b\ge0\right)\)

\(PT\Leftrightarrow3b^2-2a^2=5ab\\ \Leftrightarrow2a^2+5ab-3b^2=0\\ \Leftrightarrow\left[{}\begin{matrix}a=2b\\a=-3b\left(vn\right)\end{matrix}\right.\Leftrightarrow a=2b\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{5+\sqrt{37}}{2}\\x=\dfrac{5-\sqrt{37}}{2}\end{matrix}\right.\left(\text{giống bài 2}\right)\)

a. \(ZnCl_2+Zn^{2+}+2Cl^-\)

b. \(FeSO_4\rightarrow Fe^{2+}+SO_4^{2-}\)

c. \(Zn\left(NO_3\right)_2\rightarrow Zn^{2+}+2NO_3^-\)

d. \(MgCl_2\rightarrow Mg^{2+}+2Cl^-\)

uses crt;

var a:array[1..1000]of integer;

n,i,k,min,vt:integer;

begin

clrscr;

write('Nhap n='); readln(n);

if n=0 then writeln('Moi ban nhap lai')

else begin

for i:=1 to n do 

begin

write('A[',i,']='); readln(a[i]);

end;

for i:=1 to n do 

  write(a[i]:4);

writeln;

min:=a[1];

vt:=1;

for i:=1 to n do 

 if min>a[i] then

begin

min:=a[i];

vt:=i;

end;

writeln('So nho nhat la: ',min,' tai vi tri: ',vt);

write('Nhap k='); readln(k);

for i:=1 to n do 

  if i<>k then write(a[i]:4);

end;

readln;

end.

Bài 5: 

Xét ΔBAC có 

FG//AC

nên \(\dfrac{FG}{AC}=\dfrac{BG}{BC}=\dfrac{1}{2}\)

hay AC=16(m)

a)

$m = D.V = 1,109.5.1000 =5545(gam)$

$m_{NaOH} = 5545.10\% = 554,5(gam)$

Pha : 

- Cân lấy 554,5 gam NaOH khan cho vào cốc dung dịch 10 lít có chia vạch

- Thêm từ từ nước vào cho đến khi chạm vạch 5 lít, khuấy đều.

b)

$n_{NaOH} = \dfrac{545,5}{40} = 13,8625(mol)$
$C_{M_{NaOH}} = \dfrac{13,8625}{5} = 2,7725M$

bài2,

Đổi 400ml = 40 lít

nH2SO4 = CmH2SO4 * VH2SO4

                = 1 * 0,4

                = 0,4

PTHH: 2NaOH + H2SO4 -----> Na2SO4 + 2H2O

mol    :    0,8           0,4                    0,4            0,8

mNaOH = 0,8 * 40 = 32 (g)

mddNaOH = \(\frac{32\cdot100}{10}\) = 320 (g)

cam on ban rat nhieu