Tìm x, biết:
x/22+x/23+x/24=x/32+x/33+x/34
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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
45 x 32 + 45 x 23
= 45 x ( 32 + 23 )
= 45 x 55
= 2475
45 : 32 + 45 : 23
= 1,40625 + 1,9566521739
= 3,362771739
43 x 33 + 43 x 22 + 43
= 43 x ( 33 + 22 + 1 )
= 43 x 56
= 2408
45 x 32 + 45 x 23
= 45 x ( 32 + 23 )
= 45 x 55
= 2475
45 : 32 + 45 : 23
= 1,40625 + 1,9566521739
= 3,362771739
43 x 33 + 43 x 22 + 43
= 43 x ( 33 + 22 + 1 )
= 43 x 56
= 2408
a: Tổng các số hạng là:
\(\dfrac{\left(220+1\right)\cdot220}{2}=24310\)
Ta có: A+1=2x
\(\Leftrightarrow2x=24311\)
hay \(x=\dfrac{24311}{2}\)
a) x + 2 3 = − 3 4 x = − 3 4 + 2 3 x = − 9 12 + 8 12 x = − 1 12
b) 5 4 − x = − 3 2 x = 5 4 − − 3 2 x = 5 4 + 6 4 x = 11 4
\(A=\dfrac{1}{3}+\dfrac{1}{3^2}+\dfrac{1}{3^3}+\dfrac{1}{3^4}+...+\dfrac{1}{3^{99}}\)
\(\Rightarrow\dfrac{A}{3}=\dfrac{1}{3^2}+\dfrac{1}{3^3}+\dfrac{1}{3^4}+...+\dfrac{1}{3^{100}}\)
\(\Rightarrow A-\dfrac{A}{3}=\dfrac{2A}{3}=\left(\dfrac{1}{3}+\dfrac{1}{3^2}+\dfrac{1}{3^3}+...+\dfrac{1}{3^{99}}\right)-\left(\dfrac{1}{3^2}+\dfrac{1}{3^3}+\dfrac{1}{3^4}+...+\dfrac{1}{3^{100}}\right)\)
\(\Rightarrow\dfrac{2A}{3}=\left(\dfrac{1}{3^2}-\dfrac{1}{3^2}\right)+\left(\dfrac{1}{3^3}-\dfrac{1}{3^3}\right)+...+\left(\dfrac{1}{3^{99}}-\dfrac{1}{3^{99}}\right)+\left(\dfrac{1}{3}-\dfrac{1}{3^{100}}\right)=\dfrac{1}{3}-\dfrac{1}{3^{100}}\)
\(\Rightarrow2A=3\cdot\left(\dfrac{1}{3}-\dfrac{1}{3^{100}}\right)\)
\(\Rightarrow\text{A}=\dfrac{1-\dfrac{1}{3^{99}}}{2}\)
\(\Rightarrow A=\dfrac{1}{2}-\dfrac{1}{2.3^{99}}< \dfrac{1}{2}\)
Chỉ biết cách châu bò này :#
\(\frac{x}{2^2}+\frac{x}{2^3}+\frac{x}{2^4}=\frac{x}{3^2}+\frac{x}{3^3}+\frac{x}{3^4}\)
\(\Leftrightarrow\frac{x}{4}+\frac{x}{8}+\frac{x}{16}=\frac{x}{9}+\frac{x}{27}+\frac{x}{81}\)
\(\Leftrightarrow\frac{4x}{16}+\frac{2x}{16}+\frac{x}{16}=\frac{9x}{81}+\frac{3x}{81}+\frac{x}{81}\)
\(\Leftrightarrow\frac{7x}{16}=\frac{13x}{81}\Leftrightarrow567x=208x\Leftrightarrow x=\frac{1}{359}\)
ui đm :)) nhầm một cách vô tội vạ, viết ko suy nghĩ P/s : trâu bò :))