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`@` `\text {Ans}`
`\downarrow`
`1.`
`13 \times 2525 - 25 \times 1313`
`= 13 \times 101 \times 25 - 25 \times 13 \times 101`
`= 13 \times 25 \times ( 101 - 101)`
`= 13 \times 25 \times 0`
`= 0`
`2.`
`(4 \times x - 2) \times (2024 - x) = x`
`4x(2024 - x) - 2(2024 - x) - x = 0`
`4x \times 2024 - 4x \times x - [ 2 \times 2024 + 2 \times (-x) ] = 0`
`8096 - 4x \times x - (4048 - 2x) = 0`
`8096 - 4x \times x - 4048 + 2x = 0`
`4048 - x(4x + 2) = 0`
`x(4x + 2) = 4048`
Bạn xem lại đề ;-; mình nghĩ lp 5 chưa hc mấy dạng ntnay ;-;.
\(1\dfrac{1}{2}\times1\dfrac{1}{3}\times1\dfrac{1}{4}\times...\times1\dfrac{1}{2023}\times1\dfrac{1}{2024}\)
\(=\left(1+\dfrac{1}{2}\right)\times\left(1+\dfrac{1}{3}\right)\times\left(1+\dfrac{1}{4}\right)\times...\times\left(1+\dfrac{1}{2023}\right)\times\left(1+\dfrac{1}{2024}\right)\)
\(=\dfrac{3}{2}\times\dfrac{4}{3}\times\dfrac{5}{4}\times\dfrac{6}{5}\times...\times\dfrac{2024}{2023}\times\dfrac{2025}{2024}\)
\(=\dfrac{3\times4\times5\times...\times2024\times2025}{2\times3\times4\times...\times2023\times2024}\)
\(=\dfrac{2025}{2}\)
\(=1012,5\)
a)(3/2-0,5)/x=7/2+1/4
(3/2-1/2)/x=14/4+1/4
1/x=15/4
x=1:15/4
x=4/15
b)(x*0,25+2010)*2011=(53+2010)*(2012-1)
(x*0,25+2010)*2011=2063*2011
=>0,25x+2010=2063
0,25x=2063-2010
0,25x=53
x=53/0,25
x=212
\(x:0,5+x\) . \(\dfrac{1}{5}=1\dfrac{3}{5}\)
\(x :\)\(\dfrac{1}{2}+x.\dfrac{1}{5}=\dfrac{8}{5}\)
\(x . 2+x.\)\(\dfrac{1}{5}=\dfrac{8}{5}\)
\(x\)\((\)\(2+\)\(\dfrac{1}{5}\)\()\) \(=\)\(\dfrac{8}{5}\)
\(x.\)\(\dfrac{11}{5}=\dfrac{8}{5}\)
\(x=\)\(\dfrac{8}{5}:\dfrac{11}{5}\)
\(x=\)\(\dfrac{8}{11}\)
vậy \(x=\)\(\dfrac{8}{11}\)
a, X x (1/3 + 1/6)=48
3/6 x X = 48
X = 96
b,x : 2/5 = 5/9
x= 25/18
c, (002 là sao bạn)
d,X - 23,7 = 72,3
X= 96
e, (108-48) : X =30
60 : X = 30
X = 2
f, (59,35 + 40,65) : X = 50
100 : X = 50
X = 2
Lời giải:
$x:\frac{1}{4}+x\times 3+x:0,5+x=2024$
$x\times 4+x\times 3+x\times 2+x=2024$
$x\times (4+3+2+1)=2024$
$x\times 10=2024$
$x=2024:10=202,4$