\(a,x+\dfrac{1}{2}=\dfrac{3}{4}\\ x=\dfrac{3}{4}-\dfrac{1}{2}\\ x=\dfrac{1}{2}\\ b,-\dfrac{2}{3}-x=1\\x=-\dfrac{2}{3}-1\\ x=-\dfrac{5}{3}\\ d,\dfrac{1}{4}+\dfrac{3}{4}:x=\dfrac{5}{2}\\ \dfrac{3}{4}:x=\dfrac{5}{2}-\dfrac{1}{4}\\ \dfrac{3}{4}:x=\dfrac{9}{4}\\ x=\dfrac{3}{4}:\dfrac{9}{4}\\ x=\dfrac{1}{3}\\ e,\left(x+\dfrac{1}{4}\right)\cdot\dfrac{3}{4}=-\dfrac{5}{8}\\ x+\dfrac{1}{4}=-\dfrac{5}{8}:\dfrac{3}{4}\\ x+\dfrac{1}{4}=\dfrac{5}{6}\\ x=\dfrac{5}{6}-\dfrac{1}{4}\\ x=\dfrac{7}{12}\)

\(g,\dfrac{x-3}{15}=\dfrac{-2}{5}\\ 5\left(x-3\right)=-30\\ x-3=-6\\ x=-6+3\\ x=-3\\ h,\dfrac{x}{-2}=\dfrac{-8}{x}\\ x^2=16\\ x=\pm\sqrt{16}\\ x=\pm4\\ k,\dfrac{x+2}{3}=\dfrac{x-4}{5}\\ 5\left(x+2\right)=3\left(x-4\right)\\ 5x+10=3x-12\\ 5x-3x=-12-10\\ 2x=-22\\ x=-11\)

\(m,\left(2x-1\right)^2=4\\ \Rightarrow\left[{}\begin{matrix}2x-1=2\\2x-1=-2\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}2x=3\\2x=-1\end{matrix}\right.\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=-\dfrac{1}{2}\end{matrix}\right.\)

Đánh giá giúp nhá cảm ơn

\(b,\Leftrightarrow\left\{{}\begin{matrix}m+1=3\\m-3\ne-3\end{matrix}\right.\Leftrightarrow m=2\\ c,\text{PT giao Ox tại hoành độ 3: }\\ x=-3;y=0\Leftrightarrow\left(m+1\right)\left(-3\right)+m-3=0\\ \Leftrightarrow-2m-6=0\Leftrightarrow m=-3\)

Bài 2:

1: \(x+\frac{1}{1\cdot3}+\frac{1}{3\cdot5}+\cdots+\frac{1}{31\cdot33}=3\)

=>\(x+\frac12\left(\frac{2}{1\cdot3}+\frac{2}{3\cdot5}+\cdots+\frac{2}{31\cdot33}\right)=3\)

=>\(x+\frac12\left(1-\frac13+\frac13-\frac15+\cdots+\frac{1}{31}-\frac{1}{33}\right)=3\)

=>\(x+\frac12\left(1-\frac{1}{33}\right)=3\)

=>\(x+\frac12\cdot\frac{32}{33}=3\)

=>\(x+\frac{16}{33}=3\)

=>\(x=3-\frac{16}{33}=\frac{99}{33}-\frac{16}{33}=\frac{83}{33}\)

2: \(x-\frac{3}{1\cdot5}-\frac{3}{5\cdot9}-\cdots-\frac{3}{61\cdot65}=2\)

=>\(x-\frac34\left(\frac{4}{1\cdot5}+\frac{4}{5\cdot9}+\cdots+\frac{4}{61\cdot65}\right)=2\)

=>\(x-\frac34\left(1-\frac15+\frac15-\frac19+\cdots+\frac{1}{61}-\frac{1}{65}\right)=2\)

=>\(x-\frac34\left(1-\frac{1}{65}\right)=2\)

=>\(x-\frac34\cdot\frac{64}{65}=2\)

=>\(x-\frac{48}{65}=2\)

=>\(x=2+\frac{48}{65}=\frac{130}{65}+\frac{48}{65}=\frac{178}{65}\)

Bài 1:

2: \(B=\frac{1}{6\cdot7}+\frac{1}{7\cdot8}+\cdots+\frac{1}{89\cdot90}\)

\(=\frac16-\frac17+\frac17-\frac18+\cdots+\frac{1}{89}-\frac{1}{90}\)

\(=\frac16-\frac{1}{90}=\frac{14}{90}=\frac{7}{45}\)

3: \(C=\frac{1}{2\cdot4}+\frac{1}{4\cdot6}+\cdots+\frac{1}{60\cdot62}\)

\(=\frac12\left(\frac{2}{2\cdot4}+\frac{2}{4\cdot6}+\cdots+\frac{2}{60\cdot62}\right)\)

\(=\frac12\left(\frac12-\frac14+\frac14-\frac16+\cdots+\frac{1}{60}-\frac{1}{62}\right)\)

\(=\frac12\left(\frac12-\frac{1}{62}\right)=\frac12\cdot\frac{30}{62}=\frac12\cdot\frac{15}{31}=\frac{15}{62}\)

4: \(D=\frac{2}{2\cdot5}+\frac{2}{5\cdot8}+\cdots+\frac{2}{92\cdot95}\)

\(=\frac23\left(\frac{3}{2\cdot5}+\frac{3}{5\cdot8}+\cdots+\frac{3}{92\cdot95}\right)\)

\(=\frac23\left(\frac12-\frac15+\frac15-\frac18+\cdots+\frac{1}{92}-\frac{1}{95}\right)\)

\(=\frac23\left(\frac12-\frac{1}{95}\right)=\frac23\cdot\frac{93}{190}=\frac{1}{95}\cdot31=\frac{31}{95}\)

5:Sửa đề: \(E=\frac{6}{1\cdot3}+\frac{6}{3\cdot5}+\cdots+\frac{61}{63\cdot65}\)

\(=3\left(\frac{2}{1\cdot3}+\frac{2}{3\cdot5}+\cdots+\frac{2}{63\cdot65}\right)\)

\(=3\left(1-\frac13+\frac13-\frac15+\cdots+\frac{1}{63}-\frac{1}{65}\right)\)

\(=3\left(1-\frac{1}{65}\right)=3\cdot\frac{64}{65}=\frac{192}{65}\)

Bài 2 : (1) liên kết ; (2) electron ; (3) liên kết ; (4) : electron ; (5) sắp xếp electron

Bài 4 : 

$\dfrac{M_X}{4} = \dfrac{M_K}{3} \Rightarrow M_X = 52$

Vậy X là crom,KHHH : Cr

Bài 5 : 

$M_X = 3,5M_O = 3,5.16 = 56$ đvC

Tên : Sắt

KHHH : Fe

Bài 9 : 

$M_Z = \dfrac{5,312.10^{-23}}{1,66.10^{-24}} = 32(đvC)$

Vậy Z là lưu huỳnh, KHHH : S

Bài 10  :

a) $PTK = 22M_{H_2} = 22.2 = 44(đvC)$

b) $M_{hợp\ chất} = X + 16.2 = 44 \Rightarrow X = 12$
Vậy X là cacbon, KHHH : C

Bài 11 : 

a) $PTK = 32.5 = 160(đvC)$

b) $M_{hợp\ chất} = 2A + 16.3 = 160 \Rightarrow A = 56$
Vậy A là sắt

c) $\%Fe = \dfrac{56.2}{160}.100\% = 70\%$

Bài 12 : 

a) $M_{hợp\ chất} = R + 1.4 = M_O = 16(đvC) \Rightarrow R = 12$

Vậy R là nguyên tố cacbon, KHHH : C

b) $\%C = \dfrac{12}{16}.100\% = 75\%$

Bài 13 : 

a) $PTK = 32M_{H_2} = 32.2 = 64(đvC)$

b) $M_{hợp\ chất} = X + 16.2 = 64 \Rightarrow X = 32$
Vậy X là lưu huỳnh, KHHH : S

11)11) 3x(x-5)²-(x+2)³+2(x-1)³-(2x+1)(4x²-2x+1)=3x(x²-10x+25)-(x³+6x²+12x+8)+2(x³-3x²+3x-1)-(8x³+1)=3x³-30x²+75x-x³-6x²-12x-8+2x³-6x²+6x-2-8x³-1=-4x³-42x²+63x-11

nhìn khó thế

b: OH=1,8cm

a: Để phương trình có hai nghiệm phân biệt thì

\(1^2-4\cdot1\left(m-2\right)>0\)

=>4(m-2)<1

=>m-2<1/4

hay m<9/4

b: \(\Leftrightarrow3^2-4\cdot\left(-2\right)\left(m-3\right)>0\)

=>9+8(m-3)>0

=>9+8m-24>0

=>8m-15>0

hay m>15/8