x-2x+5y-12=0

y(x+5)-2(x+5)-2=0

(y-2)(x+5)=2

xong thu TH nha 

k cho toi di Hien beo ne

Ba oi thay Hung cung cho de nay a

1) \(\frac{2}{5}\div\frac{3}{5}\times x+\frac{4}{7}=\frac{1}{3}+\frac{4}{7}\)

     \(\frac{2}{5}\times\frac{5}{3}\times x+\frac{4}{7}=\frac{19}{21}\)

       \(\frac{2}{3}\times x+\frac{4}{7}=\frac{19}{21}\)

      \(\frac{2}{3}\times x=\frac{19}{21}-\frac{4}{7}\)

       \(\frac{2}{3}\times x=\frac{1}{3}\)

         \(\Rightarrow x=\frac{1}{3}\div\frac{2}{3}\)

          \(\Rightarrow x=\frac{1}{3}\times\frac{3}{2}\)

           \(\Rightarrow x=\frac{1}{2}\)

\(\left\{x^2-\left[6^2-\left(8^2-9.7\right)^3-7.5\right]^3-5.3\right\}^3=1\)

\(\Rightarrow\left\{x^2-\left(36-1^3-35\right)^3-15\right\}^3=1\)

\(\Rightarrow x^2-\left(0^3-15\right)^3=1\)

\(\Rightarrow x^2-\left(-3375\right)=1\)

\(\Rightarrow x^2=-3374\)

\(\Rightarrow x\in\varnothing\)

{ x² - [ 6² - ( 8² - 9.7)³ - 7.5]³ - 5.3 }³ = 1

{ x² + [ 36 - (64 - 63)³ - 35]³ - 15}³ = 1

[ x² - ( 36 - 1³ - 35 ) - 15 ]³ = 1

[ x² - ( 36 - 1 - 35 ) - 15]³ = 1

[ x² - ( 35 - 35 ) - 15]³ = 1

[ x² - 0 - 15]³ = 1

( x² - 15 )³ = 1

<=> ( x² - 15)³ = 1³

=> x² - 15 = 1

<=> x² = 16

=> x = 4

1+3+5+....+x = 1600(x là số lẻ)

{(n-1)/(2)+1}^2= 1600

(n-1)/(2)+1= 40^2

(n-1)/(2)+1 = 40

(n-1)/(2) = 40-1

(n-1)/(2) = 39

n-1 = 39*2

n-1 = 78

n = 78+1

n=79

                                                               Ý KIẾN RIÊNG

a)để  \(2x^2-4x\)dương

\(\Leftrightarrow2x^2-4x>0\)

\(\Leftrightarrow2x\left(x-2\right)>0\)

TH1: \(\Rightarrow\hept{\begin{cases}2x>0\\x-2>0\end{cases}\Rightarrow\orbr{\begin{cases}x>0\\x>2\end{cases}}\Rightarrow x>2}\)

TH2: \(\hept{\begin{cases}2x< 0\\x-2< 0\end{cases}\Rightarrow\orbr{\begin{cases}x< 0\\x< 2\end{cases}}\Rightarrow x< 0}\)

\(\frac{2}{3}x=\frac{5}{4}+\frac{1}{2}x\)

\(\Rightarrow\frac{2}{3}x-\frac{1}{2}x=\frac{5}{4}\)

\(\frac{1}{6}x=\frac{5}{4}\)

\(x=\frac{5}{4}:\frac{1}{6}\)

x = 15/2

2/3.x = 5/4 + 1/2 . x

2/3. x - 1/2 . x =5/4

(2/3-1/2).x=5/4

1/3.x=5/4

x=5/4:1/3

x=15/4

-210 = (-1) + (-2) + (-3) + ... + (-x + 1) + (-x)

=> -210 = -(1 + 2 + 3 + ... + x - 1 + x)

=> 210 = 1 + 2 + 3 + ... + x - 1 + x

=> 210 = (x + 1) . x : 2

=> 420 = (x + 1) . x

=> (20 + 1) . 20 = (x + 1) . x

=> x = 20

Số số hạng là :

-x - (-1) = -x + 1 (số)

Tổng là :

[-x + (-1)].(-x + 1):2 = (-x - 1).(-x + 1):2 = -210

=> (-x - 1).(-x + 1) = -420

=> (-x)² - 1² = -420

=> (-x)² = -419

=> x không tồn tại vì (-x)² > (=) 0