2: Tìm x

a) Ta có: x+25=40

nên x=40-25=15

Vậy: x=15

b) Ta có: 198-(x+4)=120

\(\Leftrightarrow x+4=198-120=78\)

hay x=78-4=74

Vậy: x=74

c) Ta có: \(\left(2x-7\right)\cdot3=125\)

\(\Leftrightarrow2x-7=\dfrac{125}{3}\)

\(\Leftrightarrow2x=\dfrac{125}{3}+7=\dfrac{125}{3}+\dfrac{21}{3}=\dfrac{146}{3}\)

\(\Leftrightarrow x=\dfrac{146}{3}:2=\dfrac{146}{6}=\dfrac{73}{3}\)

Vậy: \(x=\dfrac{73}{3}\)

d) Ta có: \(x+16⋮x+1\)

\(\Leftrightarrow x+1+15⋮x+1\)

mà \(x+1⋮x+1\)

nên \(15⋮x+1\)

\(\Leftrightarrow x+1\inƯ\left(15\right)\)

\(\Leftrightarrow x+1\in\left\{1;-1;3;-3;5;-5;15;-15\right\}\)

hay \(x\in\left\{0;-2;2;-4;4;-6;14;-16\right\}\)

Vậy: \(x\in\left\{0;-2;2;-4;4;-6;14;-16\right\}\)

\(a,x+25=40\\ \Rightarrow x=40-25\\ \Rightarrow x=15\\ b,198-\left(x+4\right)=120\\ \Rightarrow-\left(x+4\right)=120-198\\ \Rightarrow-\left(x+4\right)=-78\\ \Rightarrow x+4=78\\ \Rightarrow x=78-4\\ \Rightarrow x=74\\ c,\left(2x-7\right).3=125\\ \Rightarrow2x-7=\dfrac{125}{3}\\ \Rightarrow2x=\dfrac{125}{3}+7\\ \Rightarrow2x=\dfrac{146}{3}\\ \Rightarrow x=\dfrac{146}{3}:2\Rightarrow x=\dfrac{73}{3}\\ d,\left(x+16\right)⋮\left(x+1\right)\\ \Rightarrow\left[\left(x+1\right)+15\right]⋮\left(x+1\right)\\ mà:\left(x+1\right)⋮\left(x+1\right)\\ \Rightarrow15⋮\left(x+1\right)\\ \Rightarrow\left(x+1\right)\inƯ\left(15\right)\\ \Rightarrow\left(x+1\right)\in\left\{-15;-1;1;15\right\}\\ \Rightarrow x\in\left\{-16;-2;0;14\right\}\)

Tự kết luận nhé bạn

Tìm x

a) (x+3)/200 + (x+4)/199 + (x+5)/198= -3

b) (x+4)/2000+ (x+6)/999+(x+8)/499+7=0

c) |x-4| - |2x-1|=6

a, 3.(2\(x\) + 4) + 198 = (-3)².10

   3.(2\(x\) + 4) + 198 = 90

   3.(2\(x\) + 4) = 90  - 198

    3.(2\(x\) + 4) = - 108

       2\(x\) + 4 = -108 : 3

       2\(x\) + 4  = -36

       2\(x\)       = - 36 - 4

      2\(x\)       = - 40

       \(x\)       = -40 : 2

        \(x\)      = - 20 

b, 2.(\(x\) + 7) -  6  = 18

    2.(\(x\) + 7) = 18 + 6

    2.(\(x\) + 7)  =24

         \(x\) + 7 = 24 : 2

         \(x\) + 7  = 12

           \(x\)       = 12 - 7

             \(x\)     = 5

c, 5.(\(x\) + 5) - 3.(\(x\) - 2) = 5² + 18

    5\(x\) + 25 - 3\(x\) + 6 = 25 + 18

    2\(x\) + 31 = 43

    2\(x\)          = 43 - 31

   2\(x\)        = 12

     \(x\)        = 12 : 2

     \(x\)        = 6

x + 2x + 3x + ...... + 99x = 2 + 4 + 6 + ...... + 198

x*(1+2+3+......+99) = 1*2 + 2*2 + 3*2 + ...... +99*2

x*(1+2+3+.....+99)=  2*(1+2+3+.....+99)

Vậy x = 2

80-(5+80)=3-(x-7)

80-85=3-(x-7)

-5=3-(x-7)

3+(-5)=x-7

-2=x-7

7+(-2)=x

5=x

a/ \(80-\left(5+80\right)=3-\left(x-7\right)\)

\(\Leftrightarrow3-\left(x-7\right)=80-85=-5\)

\(\Leftrightarrow x-7=3-\left(-5\right)=8\)

\(\Rightarrow x=8+7=15\)

b/ \(150-\left(2x+1\right)=150-29=121\)

\(\Leftrightarrow2x+1=150-121=29\)

\(\Leftrightarrow2x=29-1=28\)
\(\Rightarrow x=28:2=14\)

150-(2x+1)=121

2x+1=150-121

2x+1=29

2x=29-1

2x=28

x=28:2

x=14

                                                 a, (-x) = 2015^2015:2015^2015                  => (-x) =1   => x=-1

                                                   b, x = 27                                                             c, x = 2

                                                                           ^_^ Tick nhé ^_^

a, 2015²⁰¹⁵(-x)=2015²⁰¹⁵

=>2015²⁰¹⁵ :2015²⁰¹⁵=-x

=>1=-x

=>x=-1

1) \(5^{x+1}-5^x=20\Leftrightarrow5^x\left(5-1\right)=20\Leftrightarrow5^x=5\Leftrightarrow x=1\)

2) \(2^x+2^{x+4}=544\Leftrightarrow2^x\left(1+2^4\right)=544\Leftrightarrow2^x=32\Leftrightarrow x=5\)

3) \(4^{2x+1}+4^{2x}=80\Leftrightarrow4^{2x}\left(4+1\right)=80\Leftrightarrow16^x=16\Leftrightarrow x=1\)

4) \(3^{2x+2}+3^{2x+1}=108\Leftrightarrow3^{2x}\left(3^2+3\right)=108\Leftrightarrow9^x=9\Leftrightarrow x=1\)

5) \(7^{x+3}-7^{x+1}=16464\Leftrightarrow7^x\left(7^3-7\right)=16464\Leftrightarrow7^x=49\Leftrightarrow x=2\)

c:Ta có: \(5^{x+1}-5^x=20\)

\(\Leftrightarrow5^x\cdot5-5^x=20\)

\(\Leftrightarrow5^x\cdot4=20\)

\(\Leftrightarrow5^x=5\)

hay x=1

c: Ta có: \(2^x+2^{x+4}=544\)

\(\Leftrightarrow2^x+2^x\cdot16=544\)

\(\Leftrightarrow2^x\cdot17=544\)

\(\Leftrightarrow2^x=32\)

hay x=5

c: Ta có: \(4^{2x+1}+4^{2x}=80\)

\(\Leftrightarrow16^x\cdot4+16^x=80\)

\(\Leftrightarrow16^x\cdot5=80\)

\(\Leftrightarrow16^x=16\)

hay x=1

c: Ta có: \(3^{2x+2}+3^{2x+1}=108\)

\(\Leftrightarrow9^x\cdot9+9^x\cdot3=108\)

\(\Leftrightarrow9^x\cdot12=108\)

\(\Leftrightarrow9^x=9\)

hay x=1

c: Ta có: \(7^{x+3}-7^{x+1}=16464\)

\(\Leftrightarrow7^x\cdot343-7^x\cdot7=16464\)

\(\Leftrightarrow7^x\cdot336=16464\)

\(\Leftrightarrow7^x=49\)

hay x=2

Tìm x:

a) (x+3)/200 + (x+4)/199 + (x+5)/198= -3

b) (x+4)/2000 + (x+6)/999 + (x+2)/499 +7= 0

c) | x-4 | - | 2x-1 |= 6 

a: 3^x=243

=>3^x=3^5

=>x=5

b: 4^x=4096

=>4^x=4^5

=>x=5

c: 5^3-x=25

=>3-x=2

=>x=1

d: =>2x-3=3

=>2x=6

=>x=3

j: =>2^x*8+2^x*2=80

=>2^x=8

=>x=3