Tìm x, biết:
125 : (3x – 13) = 25
giải giùm em với. Toán lớp 6
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TL;
6x + 3 chia hết cho 3x + 1
a)(6x+3)xa)(6x+3)x
=6+3x=6+3x
Để (6x+3)⋮xĐể (6x+3)⋮x
⇔3⋮x⇔3⋮x
⇒x∈Ư(3)={±1;±3}⇒x∈Ư(3)={±1;±3}
b)4x+42x−1b)4x+42x−1
=4x−2+62x−1=4x−2+62x−1
=2(2x−1)+62x−1=2(2x−1)+62x−1
=2+62x−1=2+62x−1
Để (4x+4)⋮(2x−1)Để (4x+4)⋮(2x−1)
⇔6⋮(2x−1)⇔6⋮(2x−1)
⇒(2x−1)∈Ư(6)={±1;±2;±3;±6}⇒(2x−1)∈Ư(6)={±1;±2;±3;±6}
⇒x∈{1;0;32;−12;2;−1;72;−52}⇒x∈{1;0;32;−12;2;−1;72;−52}
Vì x∈ZVì x∈Z
⇒x∈{1;0;2;−1}⇒x∈{1;0;2;−1}
c)x2−9x+7x−9c)x2−9x+7x−9
=x(x−9)+7x−9=x(x−9)+7x−9
=x+7x−9=x+7x−9
Để (x2−9x+7)⋮(x−9)Để (x2−9x+7)⋮(x−9)
⇔7⋮(x−9)⇔7⋮(x−9)
⇒(x−9)∈Ư(7)={±1;±7}⇒(x−9)∈Ư(7)={±1;±7}
⇒x∈{10;8;16;2}
a) (-25).13.(-8).4.(-125)
= (-25).4.(-8).(-125).13
= (-100).1000.13
= 1300000
b) -(487+a-789)-(789-487-3a)
= (-487)+(-a)+789+(-789)+487+3a
= (-487)+487+789+(-789)+3a+(-a)
= 0+0+2a
= 2a
c) |2x-7|=11(Có 2 trường hợp)
TH1)2x-7=11
<=>2x=11+7
<=>2x=18
<=>x=18/2
<=>x=9
TH2)2x-7=-11
<=>2x=-11+7
<=>2x=-4
<=>x=-4/2
<=>x=-2
d)3x+12=30+x
<=>3x=x+30-12
<=>3x=x+18
<=>2x+x=x+18
<=>2x=18+x-x
<=>2x=18
<=>x=18/2
<=>x=9
k mình nhé
CHÚC BẠN HỌC GIỎI
(-25 ) . 13 . ( -8 ) . 4 . ( -125 )
= [ -25 . 4 ] . [ -125 . ( -8 ) ] . 13
= -100 . (-1000 ) . 13
= 100 000 . 13
= 1 300 000
| 2x - 7 | = 11
2x = 11 + 7
2x = 18
x = 18 : 2
x = 9
\(a,\frac{7}{3}x+5=\frac{9}{6}x-7\)
\(\frac{7}{3}x-\frac{9}{6}x=-7-5\)
\(\left(\frac{7}{3}-\frac{9}{6}\right).x=-12\)
\(\frac{5}{6}.x=-12\)
\(x=\left(-12\right):\frac{5}{6}\)
\(x=-\frac{72}{5}\)
\(b,3x+\frac{6}{4}=5-\frac{7x}{6}\)
\(3x+\frac{7x}{6}=5-\frac{6}{4}\)
\(\left(3+\frac{7}{6}\right).x=\frac{7}{2}\)
\(\frac{25}{6}.x=\frac{7}{2}\)
\(x=\frac{7}{2}:\frac{25}{6}\)
\(x=\frac{21}{25}\)
\(c,\frac{12}{5}x+6=\frac{17}{3}x+12\)
\(\frac{12}{5}x-\frac{17}{3}x=12-6\)
\(-\frac{49}{15}x=6\)
\(x=6:\left(-\frac{49}{15}\right)\)
\(x=-\frac{90}{49}\)
\(d,6\left(3x+7\right)=12\left(2x-4\right)\)
\(18x+42=24x-48\)
\(18x-24x=-48-42\)
\(-6x=-90\)
\(x=15\)
\(e,13\left(2x-9\right)=8\left(3x-13\right)\)
\(26x-117=24x-104\)
\(26x-24x=-104+117\)
\(2x=13\)
\(x=\frac{13}{2}\)
\(3^x+25=26\cdot2^2+2\cdot3^0\)
\(3^x+25=26\cdot4+2\cdot1\)
\(3^x+25=104+2\)
\(3^x+25=106\)
\(3^x=106-25\)
\(3^x=81\)
\(3^x=3^4\)
Vậy : \(x=4\)
\(27\cdot3^x=243\)
\(3^x=\frac{243}{27}\)
\(3^x=9\)
\(3^x=3^2\)
Vậy x = 2
\(3^x+25=26\times2^2+2\times3^0\)
\(\Rightarrow3^x+25=26\times4+2\times1\)
\(\Rightarrow3^x+25=104+2\)
\(\Rightarrow3^x+25=106\)
\(\Rightarrow3^x=81\left(\text{cùng bớt đi 25}\right)\)
\(\Rightarrow3^x=3^4\)
\(\Rightarrow x=4\)
Theo đề ta có:
x + 9 chia hết cho 17
x + 9 chia hết cho 25
=> x + 9 \(\in\)BC ( 17;25 )
=> x + 9\(\in\){0;425;950;...}
Mà 400 < x < 500 => 409 < x + 9 < 509
=> x + 9 = 425
=> x = 416
a) 25 - 3x = 13
3x = 25 - 13
3x = 12
x = 12 : 3
x = 4
b) 13 + 3(130 - 3x) = 313
3(130 - 3x) = 313 - 13
3(130 - 3x) = 300
130 - 3x = 300 : 3
130 - 3x = 100
3x = 130 - 100
3x = 30
x = 30 : 3
x = 10
a) \(\frac{x-1}{x-3}=\frac{x-3+2}{x-3}=\frac{x-3}{x-3}+\frac{2}{x-3}=1+\frac{2}{x-3}\)
=> x-3 \(\in\) Ư(2) = {1,2}
Ta có bảng :
x-3 | 1 | 2 |
x | 4 | 5 |
Vậy x = {4,5}
b) \(\frac{x}{x-5}=\frac{x-5+5}{x-5}=\frac{x-5}{x-5}+\frac{5}{x-5}=1+\frac{5}{x-5}\)
=> x-5 \(\in\) Ư(5) = {1,5}
Ta có bảng :
x-5 | 1 | 5 |
x | 6 | 10 |
Vậy x = {6,10}
c) \(\frac{x+6}{x-1}=\frac{x-1+7}{x-1}=\frac{x-1}{x-1}+\frac{7}{x-1}=1+\frac{7}{x-1}\)
=> x-1 \(\in\) Ư(7) = {1,7}
Ta có bảng :
x-1 | 1 | 7 |
x | 2 | 8 |
Vậy x = {2,8}
d) \(\frac{x-3}{x-2}=\frac{x-2-1}{x-2}=\frac{x-2}{x-2}-\frac{1}{x-2}=1-\frac{1}{x-2}\)
=> x-2 \(\in\) Ư(1) = {1}
Vậy ta có x-2 = 1
x = 1+2
x = 3
bn giai ro rang hon cho mk hieu dc ko
ky hieu chia het 3 dau . hang doc
Tìm x, biết:
125 : (3x – 13) = 25
3x - 13 = 125 : 25
3x - 13 = 5
3x = 5 +13
3x = 18
x = 18 : 3
\(\Rightarrow\) x = 6
Đáp án:
125:(3x-13)=25
<=> 3x-13=125:25
<=> 3x-13=5
<=> 3x=5+13
<=> 3x=18
<=> x=18:3
<=> x=6
Vậy x=6
:))))