Tìm x, biết:
a,x/-15=-60/x
b,-2/x=-x/0.32
Tìm x, biết:
a.1/4+3/4.x=3/2-x
b.3/5.x-1/4=1/10.x-1/2
c.3x-3/5=x-1/4
d.3/2.x-2/5=1/3.x-1/4
`@` ` \text {Ans}`
`\downarrow`
`a,`
`1/4+3/4*x=3/2-x`
`=> 1/4 + 3/4x - 3/2 + x = 0`
`=> (1/4 - 3/2) + (3/4x + x) = 0`
`=> -5/4 + 7/4x = 0`
`=> 7/4x = 5/4`
`=> x = 5/4 \div 7/4`
`=> x = 5/7`
Vậy, `x=5/7`
`b,`
`3/5*x-1/4=1/10*x-1/2`
`=> 3/5x - 1/4 - 1/10x + 1/2 = 0`
`=> (3/5x - 1/10x) + (-1/4 + 1/2)=0`
`=> 1/2x + 1/4 = 0`
`=> 1/2x = -1/4`
`=> x = -1/4 \div 1/2`
`=> x = -1/2`
Vậy, `x=-1/2`
`c,`
`3x-3/5=x-1/4`
`=> 3x - 3/5 - x + 1/4 = 0`
`=> (3x - x) - (3/5 - 1/4) = 0`
`=> 2x - 7/20 = 0`
`=> 2x = 0,35`
`=> x = 0,35 \div 2`
`=> x = 7/40`
Vậy, `x=7/40`
`d,`
`3/2*x-2/5=1/3*x-1/4`
`=> 3/2x - 2/5 - 1/3x + 1/4 = 0`
`=> (3/2x - 1/3x) - (2/5 - 1/4) = 0`
`=> 7/6x - 3/20 = 0`
`=> 7/6x = 3/20`
`=> x = 3/20 \div 7/6`
`=> x = 9/70`
Vậy, `x=9/70`
`@` `\text {Kaizuu lv uuu}`
Bài 1) Tìm số tự nhiên x biết:
a) x + 7 chia hết cho x
b) 2x + 1 chia hết cho x + 1
a: \(x\in\left\{1;7\right\}\)
b: \(x+1=1\)
hay x=0
\(a,\Rightarrow x\inƯ\left(7\right)=\left\{-7;-1;1;7\right\}\\ b,\Rightarrow2\left(x+1\right)-1⋮x+1\\ \Rightarrow x+1\inƯ\left(1\right)=\left\{-1;1\right\}\\ \Rightarrow x\in\left\{-2;0\right\}\)
Tìm số nguyên x biết:
a) 6 phần 5 = 18 phần x
b) 3 phần 4 = -21 phần x
c) 2 phần -7 = 18 phần x
d) -5 phần 2 = 10 phần âm x
\(a,\dfrac{6}{5}=\dfrac{18}{x}\\ \Rightarrow x=18:\dfrac{6}{5}\\ \Rightarrow x=15\\ b,\dfrac{3}{4}=\dfrac{-21}{x}\\ \Rightarrow x=-21:\dfrac{3}{4}\\ \Rightarrow x=-28\\ c,\dfrac{2}{-7}=\dfrac{18}{x}\\ \Rightarrow x=18:\dfrac{2}{-7}\\ \Rightarrow x=-63\\ d,\dfrac{-5}{2}=\dfrac{10}{-x}\\ \Rightarrow x=-10:\dfrac{-5}{2}\\ \Rightarrow x=4\)
\(a,\dfrac{6}{5}=\dfrac{18}{x}\Rightarrow6.x=5.18=90\\ \Rightarrow6.x=90\\ \Rightarrow x=15\\ b,\dfrac{3}{4}=\dfrac{-21}{x}\Rightarrow3.x=4.21=84\\ \Rightarrow x=28\)
\(a,\dfrac{6}{5}=\dfrac{18}{x}=>x=\dfrac{18.5}{6}=\dfrac{90}{6}=15\)
\(b,\dfrac{3}{4}=-\dfrac{21}{x}=>x=-\dfrac{21.4}{3}=-\dfrac{84}{3}=24\)
\(c,\dfrac{2}{-7}=\dfrac{18}{x}=>x=\dfrac{18.-7}{2}=-\dfrac{126}{2}=-63\)
\(d,-\dfrac{5}{2}=\dfrac{10}{-x}=>-x=\dfrac{10.2}{-5}=\dfrac{20}{-5}=-4=>x=4\)
Tìm các số nguyễn,y biết:
A)3^x+1.5^y=45^x
b)xy-x+2y=4
c)(3x+6)^2022+(y-1)^20 <_ 0
Tìm x biết:
a, 2^x -15= 2^4+1
b, x+1/65+x+2/64=x+3/63+x+4/61
`a,`\(2^x -15= 2^4+1\)
`-> 2^x-15=17`
`-> 2^x=17+15`
`-> 2^x=32`
`-> 2^x=2^5`
`-> x=5`
`b,` Có phải đề là \(\dfrac{x+1}{65}+\dfrac{x+2}{64}=\dfrac{x+3}{63}+\dfrac{x+4}{62}\) ?
`=>`\(\dfrac{x+1}{65}+1+\dfrac{x+2}{64}+1=\dfrac{x+3}{63}+1+\dfrac{x+4}{62}+1\)
`=>`\(\dfrac{x+1+65}{65}+\dfrac{x+2+64}{64}-\dfrac{x+3+63}{63}-\dfrac{x+4+62}{62}=0\)
`=>`\(\dfrac{x+66}{65}+\dfrac{x+66}{64}-\dfrac{x+66}{63}-\dfrac{x+66}{62}=0\)
`=>`\(\left(x+66\right)\left(\dfrac{1}{65}+\dfrac{1}{64}-\dfrac{1}{63}-\dfrac{1}{62}\right)=0\)
Mà `1/65+1/64-1/63-1/62 \ne 0`
`-> x+66=0`
`-> x=-66`
Tìm x biết:
a, 2^x -15= 2^4+1
b, x+1/65+x+2/64=x+3/63+x+4/61
a: =>2^x=2^4+16=32
=>x=5
b: Sửa đề: \(\dfrac{x+1}{65}+\dfrac{x+2}{64}=\dfrac{x+3}{63}+\dfrac{x+4}{62}\)
=>\(\left(\dfrac{x+1}{65}+1\right)+\left(\dfrac{x+2}{64}+1\right)=\left(\dfrac{x+3}{63}+1\right)+\left(\dfrac{x+4}{62}+1\right)\)
=>x+66=0
=>x=-66
Tìm số x không âm, biết:
a) ; b)
c) ;
\(a)\sqrt{x}=11\\ \Rightarrow\sqrt{x}=\sqrt{11^2}\\ \Rightarrow\sqrt{x}=\sqrt{121}\\ \Rightarrow x=121\\ b)2\sqrt{x}=-\dfrac{13}{15}\\ \Rightarrow\sqrt{x}=-\dfrac{13}{15}:2\\ \Rightarrow\sqrt{x}=-\dfrac{13}{30}\left(ktm\right)\\ c)\sqrt{x}=\sqrt{6}\\ \Rightarrow x=6\)
Bài 4:tìm x,biết:
a)x + 7 = -12
b)x – 15 = -21
c)13 – x = 20
d)17 – (2 + x) = 3
a) x+7=-12
x=(-12)-7
x=-19
b)x-15=-21
x=(-21)+15
x=-6
c)13-x=20
x=13-20
x=-7
d)17-(2+x)=3
x=17-3
x=14
x=14-2
x=12
a,x+7=-12
=>x= -12-7
=>x= -19
b,x-15= -21
=>x= -21+15
=>x= -6
c,13-x=20
=>x=13-20
=>x= -7
d, 17-(2+x)=3
=>2+x=17-3
=>2+x=14
=>x=14-2
=>x=12
a) \(x+7=-12\)
\(x=-12-7\)
\(x=-19\)
b) \(x-15=-21\)
\(x=-21+15\)
\(x=-6\)
c) \(13-x=20\)
\(x=13-20\)
\(x=-7\)
d) \(17-\left(2+x\right)=3\)
\(2+x=17-3\)
\(2+x=14\)
\(x=14-2\)
\(x=12\)
1.Tính nhanh nếu có thể:
a) 22 + 23 + 89 + 77
b) 35 . 15 + 15 . 65
c) 72 - 36 : 32
d) 476 - {5 . [409 - (8 . 3 - 21)2] - 1724}
2. Tìm x, biết:
a) x + 37 = 50
b) 2x - 3 = 11
c) (x - 105) : 21 = 15
3. Tìm số tự nhiên x,y biết:
a) 56x chia hết cho 2
b) 34y chia hết cho 2 và 5
4. Cho A = 2 + 22 + 23 + ... + 220
Chững minh A chia hết cho 3
1.Tính nhanh nếu có thể:
a) 22 + 23 + 89 + 77
= ( 77 + 23 ) + 22 + 89
= 100 + 22 + 89
= 122 + 89
= 211
b) 35 . 15 + 15 . 65
= 15 . ( 35 + 65 )
= 15 . 100
= 1500
c) 7^2 - 36 : 3^2
= 7^2 - 36 : 9
= 7^2 - 4
= 49 - 4
= 45
d) 476 - {5 . [409 - (8 . 3 - 21)2] - 1724}
= 476 - {5 . [409 - (24 - 21)^2] - 1724}
= 476 - {5 . [409 - (3^2)] - 1724}
= 476 - {5 . [409 - 9 ] - 1724}
= 476 - {5. 400 - 1724}
= 476 - {2000 - 1724}
= 476 - 276
= 200
2. Tìm x, biết:
a) x + 37 = 50
x = 50 - 37
x = 13
b) 2x - 3 = 11
2x = 11 + 3
2x = 14
2x = 2 . 7