7x-5=16
8x+2x=25*22
125(28+72)-25(32*4+64)
9x-1=9
x4=16
2x/25=1
3x=9
Giải PT:
a) \(\dfrac{1}{2}\sqrt{x-1}-\dfrac{3}{2}\sqrt{9x-9}+24\sqrt{\dfrac{x-1}{64}}=-17\)
b) \(\sqrt{18x-9}-0,5\sqrt{2x-1}+\dfrac{1}{2}\sqrt{25\left(2x-1\right)}+\sqrt{49\left(2x-1\right)}=24\)
c) \(\sqrt{36x-72}-15\sqrt{\dfrac{x-2}{25}}=4\left(5+\sqrt{x-2}\right)\)
d) \(\sqrt{\dfrac{1}{3x+2}}-\dfrac{1}{2}\sqrt{\dfrac{9}{3x+2}}+\sqrt{\dfrac{16}{3x+2}}-5\sqrt{\dfrac{1}{12x+8}}=1\)
e) \(\dfrac{1}{2}\sqrt{\dfrac{49x}{x+2}}-3\sqrt{\dfrac{x}{4x+8}}-\sqrt{\dfrac{x}{x+2}}-\sqrt{5}=0\)
a. ĐKXĐ: $x\geq 1$
PT $\Leftrightarrow \frac{1}{2}\sqrt{x-1}-\frac{3}{2}.\sqrt{9}.\sqrt{x-1}+24.\sqrt{\frac{1}{64}}.\sqrt{x-1}=-17$
$\Leftrightarrow \frac{1}{2}\sqrt{x-1}-\frac{9}{2}\sqrt{x-1}+3\sqrt{x-1}=-17$
$\Leftrightarrow -\sqrt{x-1}=-17$
$\Leftrightarrow \sqrt{x-1}=17$
$\Leftrightarrow x-1=289$
$\Leftrightarrow x=290$
b. ĐKXĐ: $x\geq \frac{1}{2}$
PT $\Leftrightarrow \sqrt{9}.\sqrt{2x-1}-0,5\sqrt{2x-1}+\frac{1}{2}.\sqrt{25}.\sqrt{2x-1}+\sqrt{49}.\sqrt{2x-1}=24$
$\Leftrightarrow 3\sqrt{2x-1}-0,5\sqrt{2x-1}+2,5\sqrt{2x-1}+7\sqrt{2x-1}=24$
$\Leftrightarrow 12\sqrt{2x-1}=24$
$\Leftrihgtarrow \sqrt{2x-1}=2$
$\Leftrightarrow x=2,5$ (tm)
c. ĐKXĐ: $x\geq 2$
PT $\Leftrightarrow \sqrt{36}.\sqrt{x-2}-15\sqrt{\frac{1}{25}}\sqrt{x-2}=4(5+\sqrt{x-2})$
$\Leftrightarrow 6\sqrt{x-2}-3\sqrt{x-2}=20+4\sqrt{x-2}$
$\Leftrightarrow \sqrt{x-2}=-20< 0$ (vô lý)
Vậy pt vô nghiệm
d. ĐKXĐ: $x>\frac{-2}{3}$
PT $\Leftrightarrow \sqrt{\frac{1}{3x+2}}-\frac{1}{2}\sqrt{9}.\sqrt{\frac{1}{3x+2}}+\sqrt{16}.\sqrt{\frac{1}{3x+2}}-5\sqrt{\frac{1}{4}}\sqrt{\frac{1}{3x+2}}=1$
$\Leftrightarrow \sqrt{\frac{1}{3x+2}}-\frac{3}{2}\sqrt{\frac{1}{3x+2}}+4\sqrt{\frac{1}{3x+2}}-\frac{5}{2}\sqrt{\frac{1}{3x+2}}=1$
$\Leftrightarrow \sqrt{\frac{1}{3x+2}}=1$
$\Leftrightarrow \frac{1}{3x+2}=1$
$\Leftrightarrow 3x+2=1$
$\Leftrightarrow x=-\frac{1}{3}$
3) 287 + 121 + 513 + 79
4) 17.34 + 17.39 + 27.17
5) 4. 52 – 64: 42
6) 25 . 101 – 25 .1010
7) 72 + [ 62 – ( 102 – 4 . 16 )]
8) 2x – 138 = 23. 32
9) [120 : 4 – (23 -17) . 5]. 20212022
Điền dấu >, <, = vào chố chấm:
28 … 31 | 84 … 90 | 54 … 50 + 5 |
65 … 64 | 72 … 72 | 25 … 20 + 5 |
23 … 32 | 48 … 39 | 86 … 80 + 7 |
Lời giải chi tiết:
28 < 31 | 84 < 90 | 54 < 50 + 5 |
65 > 64 | 72 = 72 | 25 = 20 + 5 |
23 < 32 | 48 > 39 | 86 < 80 + 7 |
28 < 31 | 84 < 90 | 54 < 50 + 5 |
65 > 64 | 72 = 72 | 25 = 20 + 5 |
23 < 32 | 48 > 39 | 86 < 80 + 7 |
bài 1:
a. S2 = 21+23+25+...+1001
b. S4 = 15+25+35+..+115
bài 2:
a. 2x-138= 23 .32
b. 5.(x+35) = 515
c. 814- ( x-305)=712
d. 20 - [ 7(x-3) +4] =2
e. 9x-1 =9
e. 5x-2 -32 = 24 - (28. 22 - 210 . 22)
Bài 1
S₂ = 21 + 23 + 25 + ... + 1001
Số số hạng của S₂:
(1001 - 21) : 2 + 1 = 491
⇒ S₂ = (1001 + 21) . 491 : 2 = 250901
--------
S₄ = 15 + 25 + 35 + ... + 115
Số số hạng của S₄:
(115 - 15) : 10 + 1 = 11
⇒ S₄ = (115 + 15) . 11 : 2 = 715
Bài 2
a) 2x - 138 = 2³.3²
2x - 138 = 8.9
2x - 138 = 72
2x = 72 + 138
2x = 210
x = 210 : 2
x = 105
b) 5.(x + 35) = 515
x + 35 = 515 : 5
x + 35 = 103
x = 103 - 35
x = 78
c) 814 - (x - 305) = 712
x - 305 = 814 - 712
x - 305 = 102
x = 102 + 305
x = 407
d) 20 - [7.(x - 3) + 4] = 2
7(x - 3) + 4 = 20 - 2
7(x - 3) + 4 = 18
7(x - 3) = 18 - 4
7(x - 3) = 14
x - 3 = 14 : 7
x - 3 = 2
x = 2 + 3
x = 5
e) 9ˣ⁻¹ = 9
x - 1 = 1
x = 1 + 1
x = 2
2:
a: \(2x-138=2^3\cdot3^2\)
=>\(2x-138=8\cdot9=72\)
=>2x=138+72=210
=>x=105
b: \(5\cdot\left(x+35\right)=515\)
=>x+35=103
=>x=103-35=68
c: \(814-\left(x-305\right)=712\)
=>x-305=814-712=102
=>x=102+305=407
d: \(20-\left[7\left(x-3\right)+4\right]=2\)
=>7(x-3)+4=18
=>7(x-3)=14
=>x-3=2
=>x=5
e: \(9^{x-1}=9\)
=>x-1=1
=>x=2
f: \(5^{x-2}-3^2=2^4-\left(2^8\cdot2^2-2^{10}\cdot2^2\right)\)
=>\(5^{x-2}-9=16-1024+4096\)
=>\(5^{x-2}=3097\)
=>\(x-2=log_53097\)
=>\(x=2+log_53097\)
Bài 1: Tính một cách hợp lí:
1) 2155 - ( 174 + 2155 ) + ( -68 + 174 ) 7) -1911 - ( 1234 - 1911 )
2) -25 . 72 + 25 . 21 - 49 . 25 8) 156 . 72 + 28 . 156
3) 35 . ( 14 - 23 ) - 23 . ( 14 - 35 ) 9) 32. ( -39 ) + 16 . ( -22 )
4) 8154 - ( 674 + 8154 ) + ( -98 + 674 ) 10) -1945 - ( 567 - 1945 )
5) -25 . 21 + 25 . 72 + 49 . 25 11) 184 . 33 + 67 . 184
6) 27 . ( 13 - 16 ) - 16 . ( 13 - 27) 12) 44 . ( -36 ) + 22 . ( -28 )
1) 2155-(174+2155)+(-68+174-7)-1911-(1234-1911)
=2155-174-2155+(-68)+174-7-1911-1234+1911
=(2155-2155)+(174-174)+(1911-1911)-(68+7+1234)
= 0 + 0 + 0 - 1309
= -1309
giải các phương trình:
loại 1:
a.x^2 -1=0
b.x^2 -9=0
c.x^2 -24=1
d.16x^2 -1=0
e.4x^2 -25=0
f.(x +3)^2 -4=0
g.x^2 -2x+1=9
loại 2:
a.x^2 +9x -36=0
b.x^2 -3x -28=0
c.x^2 +15x -700=0
d.x^2 +20x - 2400=0
e.3x^2 +7x -20=0
f.2x^2 -7x+6=0
g.9x^2 -191x=600
bị sang chấn tâm lí cái câu hỏi cụa bn ghê , tách `5->6` câu th bn:)
rút gọn rồi tính
2/5+9/15
15/45+25/30
28/32+45/72
8/28+5/30
giúp với
`2/5 + 9/15= 2/5 + 3/5=5/5=1`
`15/45 + 25/30= 1/3 + 5/6= 2/6+5/6=7/6`
`28/32 + 45/72=7/8+ 5/8=12/8=3/2`
`8/28 + 5/30= 2/7 + 1/6= 12/42 + 7/42= 19/42`
2/25=.../25 .../36=3/4
3/...=9/36
15/27=5/....
....28=5/7
36/72=..../2
2/25=.2../25 .27../36=3/4
3/.12..=9/36
15/27=5/..9..
..20..28=5/7
36/72=..1../2
\(\dfrac{2}{25}=\dfrac{2}{25}\)
\(\dfrac{27}{36}=\dfrac{3}{4}\)
\(\dfrac{3}{12}=\dfrac{9}{36}\)
\(\dfrac{15}{27}=\dfrac{5}{9}\)
\(\dfrac{20}{28}=\dfrac{5}{7}\)
\(\dfrac{36}{72}=\dfrac{1}{2}\)
TK
2/25=.2../25
27../36=3/4
3/.12..=9/36
15/27=5/..9..
..20..28=5/7
36/72=..1../2
Tim X:
a)4x=64 b)x4=16
c)9x-1=9 d)2x:25=1