22.(x+32)–5=55.179⁰
22.(x+32)–5=55.179⁰
`22(x+32)-5=55. 179^0`
`=>22(x+32)-5=55.1`
`=>22(x+32)-5=55`
`=> 22(x+32)=55+5`
`=>22(x+32)=60`
`=>x+32=60:22`
`=>x+32=30/11`
`=>x=30/11-32`
`=>x=-322/11`
`22(x+32)-5=55.179^0`
`=>22(x+32)=55.1+5`
`=>22(x+32)=60`
`=>x+32=60:22`
`=>x+32=30/11`
`=>x=30/11-32`
`=>x=30/11-352/11`
`=>x=-322/11`
Vậy `x=-322/11`
`Yiuby`
Chứng minh rằng:
A = 1/3 + 1/32 + 1/33 + ..........+ 1/399 < 1/2
B = 3/12x 22 + 5/22 x 32 + 7/32 x 42 +............+ 19/92 x 102 < 1
C = 1/3 + 2/32 + 3/33 + 4/34 +.........+ 100/3100 ≤ 0
\(A=\dfrac{1}{3}+\dfrac{1}{3^2}+\dfrac{1}{3^3}+\dfrac{1}{3^4}+...+\dfrac{1}{3^{99}}\)
\(\Rightarrow\dfrac{A}{3}=\dfrac{1}{3^2}+\dfrac{1}{3^3}+\dfrac{1}{3^4}+...+\dfrac{1}{3^{100}}\)
\(\Rightarrow A-\dfrac{A}{3}=\dfrac{2A}{3}=\left(\dfrac{1}{3}+\dfrac{1}{3^2}+\dfrac{1}{3^3}+...+\dfrac{1}{3^{99}}\right)-\left(\dfrac{1}{3^2}+\dfrac{1}{3^3}+\dfrac{1}{3^4}+...+\dfrac{1}{3^{100}}\right)\)
\(\Rightarrow\dfrac{2A}{3}=\left(\dfrac{1}{3^2}-\dfrac{1}{3^2}\right)+\left(\dfrac{1}{3^3}-\dfrac{1}{3^3}\right)+...+\left(\dfrac{1}{3^{99}}-\dfrac{1}{3^{99}}\right)+\left(\dfrac{1}{3}-\dfrac{1}{3^{100}}\right)=\dfrac{1}{3}-\dfrac{1}{3^{100}}\)
\(\Rightarrow2A=3\cdot\left(\dfrac{1}{3}-\dfrac{1}{3^{100}}\right)\)
\(\Rightarrow\text{A}=\dfrac{1-\dfrac{1}{3^{99}}}{2}\)
\(\Rightarrow A=\dfrac{1}{2}-\dfrac{1}{2.3^{99}}< \dfrac{1}{2}\)
Tìm x:
22 . (x + 32) - 5 = 55
2^2.(x+3^2)-5=55
4.(x+9)=55+5=60
(x+9)=60:4=15
x=15-9=6
vậy x=6
32 x 5 - 22 x 7 + 83
\(3^2.5-2^2.7+83\)
\(=9.5-4.7+83\)
= \(45-28+83\)
= \(100\)
(2x-10)-(32-3x)-(-x-5)+(-x+7)=-22
a) x+32=5
x=5-32
x=-27
b)x-4=-7
x=-7+4
x=-3
c) 10-(x+12)=5-(22-30)
10-x-12=5-22+30
-2-x=13
x=-2-13
=-15
#H
Tìm x biết:
a, 2 3 x + 5 2 x = 2 5 2 + 2 3 - 33
b, 260 : x + 4 = 5 2 3 + 5 - 3 3 2 + 2 2
c, 720 : [ 41 - 2 x - 5 ] = 2 3 . 5
d, 3 2 - 2 x - 12 + 35 = 5 2 + 279 : 3 2
a, 2 3 x + 5 2 x = 2 5 2 + 2 3 - 33
8x+25x = 33
33x = 33
x = 1
b, 260 : x + 4 = 5 2 3 + 5 - 3 3 2 + 2 2
260:(x+4) = 5.13–3.13
x+4 = 260:26
x+4 = 10
x = 6
c, 720 : [ 41 - 2 x - 5 ] = 2 3 . 5
41–(2x–5) = 720:40
2x–5 = 41–18
2x = 28
x = 14
d, 3 2 - 2 x - 12 + 35 = 5 2 + 279 : 3 2
7(x–12)+35 = 56
7(x–12) = 21
x–12 = 3
x = 15
Cho mặt cầu S : x - 1 2 + y + 2 2 + z - 3 2 = 5 . Chọn khẳng định đúng
[ 22^32(32^23-23^22) - 32^23(22^32-23^22) ] : 23^22(32^23-22^32)