1221+312434=313655 nha<<<

|x-3| < 5 Khi \(0\le x-3< 5\)hoặc \(-5< x-3\le0\)

+) \(0\le x-3< 5\Leftrightarrow3\le x< 8\)

+) \(-5< x-3\le0\Leftrightarrow-2\le x< 3\)

vậy  \(-2\le x< 8\)

1)\(M=\frac{x-7}{x-4\sqrt{x}+3}+\frac{1}{\sqrt{x}-1}-\frac{1}{\sqrt{x}-3}\)(ĐKXĐ : \(x\ge0;x\ne1;x\ne9\))

\(=\frac{x-7}{\left(\sqrt{x}-1\right)\left(\sqrt{x}-3\right)}+\frac{\sqrt{x}-3}{\left(\sqrt{x}-1\right)\left(\sqrt{x}-3\right)}-\frac{\sqrt{x}-1}{\left(\sqrt{x}-1\right)\left(\sqrt{x}-3\right)}\)

\(=\frac{x-9}{\left(\sqrt{x}-1\right)\left(\sqrt{x}-3\right)}=\frac{\left(\sqrt{x}-3\right)\left(\sqrt{x}+3\right)}{\left(\sqrt{x}-1\right)\left(\sqrt{x}-3\right)}=\frac{\sqrt{x}+3}{\sqrt{x}-1}\)

2) \(M>\frac{3}{4}\Leftrightarrow\frac{\sqrt{x}+3}{\sqrt{x}-1}>\frac{3}{4}\Leftrightarrow1+\frac{4}{\sqrt{x}-1}-\frac{3}{4}>0\Leftrightarrow\frac{4}{\sqrt{x}-1}+\frac{1}{4}>0\Rightarrow\sqrt{x}-1>0\Leftrightarrow x>1\)Vậy \(M>\frac{3}{4}\Leftrightarrow\hept{\begin{cases}x>1\\x\ne9\end{cases}}\)

là 108

Vì 125 = 5³

=> X - 1 = 5

=> X      = 5 + 1

=> X      = 6

Vậy x = 6

Tại bn ghi đề ko rõ nên mk vs bn kia nhầm, hic, mk lm lại

2 : (1/2 - 2/3)³

= 2 : (3/6 - 4/6)³

= 2 : (-1/6)³

= 2 : (-1)³/6³

= 2 : (-1/216)

= 2 × (-216)

= -432

Lần này thì

Ủng hộ mk nha ☆_☆^_-

(x + 1) + (2.x + 2) + (3.x + 3) + ... + (100.x + 100) = 45450

(x + 2.x + 3.x + ... + 100.x) + (1 + 2 + 3 + ... + 100) = 45450

x.(1 + 2 + 3 + ... + 100) + (1 + 2 + 3 + ... + 100) = 45450

(1 + 2 + 3 + ... + 100).(x + 1) = 45450

(1 + 100).100:2.(x + 1) = 45450

101.50.(x + 1) = 45450

5050.(x + 1) = 45450

x + 1 = 45450 : 5050

x + 1 = 9

x = 9 - 1

x = 8

Vậy x = 8

Ủng hộ mk nha ☆_☆^_-

đk; x khác 2

= 4 - x(x-2) +2(x-2) =0

4 - x² +2x +2x -4 =0

4x - x²  =0

x(4-x)=0

x = (0; 4)