Tìm số nguyên x, biết − 12 27 + 2 3 + − 2 9 ≤ x ≤ 11 7 + 2 5 + − 7 5 + 3 7
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a) 3x + 27 = 9
=> 3x = 9 - 27
=> 3x = -18
=> x = -18 : 3
=> x = -6
b) 2x + 12 = 3(x - 7)
=> 2x + 12 = 3x - 3 . 7
=> 2x + 12 = 3x - 21
=> 3x - 2x = 21 - 12
=> x = 9
c) 2x . 2 - 1 = 49
=> 2x . 2 = 49 + 1
=> 2x . 2 = 50
=> 2x = 50 : 2
=> 2x = 25
=> x =25 : 2
=> x = 25/2
d) |-9 - x| - 5 = 12
=> |-9 - x| = 12 + 5
=> |-9 - x| = 17
=> \(\orbr{\begin{cases}-9-x=17\\-9-x=-17\end{cases}}\)
=> \(\orbr{\begin{cases}x=-9-17\\x=-9-\left(-17\right)\end{cases}}\)
=> \(\orbr{\begin{cases}x=-26\\x=8\end{cases}}\)
3x + 27 = 9
3x = 9 - 27
3x = - 18
x = - 6
b, 2x + 12 = 3.( x - 7 )
2x + 12 = 3x - 21
2x - 3x = - 21 - 12
- x = - 33
x = 33
c, 2x2 - 1 = 49
=> 2x2 = 49 + 1
=> 2x2 = 50
=> x2 = 50 : 2
=> x2 = 25
=> x = 5 hoặc x = - 5
d, | - 9 - x | - 5 = 12
| - 9 - x | = 12 + 5
| - 9 - x | = 17
=> - 9 - x = 17 hoặc - 9 - x = - 17
=> x = - 26 hoặc x = 8
a) Ta có : 3x + 27 = 9 b) Ta có : 2x + 12 = 3 ( x - 7 ) c) Ta có : 2x^2 - 1 = 49
2x + 12 = 3x - 21 2x^2 = 49 + 1
3x = 9 - 27 2x + 12 + 21 = 3x 2x^2 = 50
3x = -18 33 = x x^2 = 50 : 2
x = ( - 18 ) : 3 x^2 = 25
x = - 6 x^2 = 5^ 2 = ( -5 ) ^ 2
Vậy x = 5 hoặc x = - 5
c) Ta có : /-9 - x / - 5 =12
/ -9 -x / = 12 + 5
/ - 9 - x / = 17
Suy ra : - 9 - x = 17
x = - 9 -17
x = - 26
Xong rồi đó olm duyệt nhanh lên giùm
a) 3x = -18
x= -6
b) 2x+12= 3x-21
12+21=3x-2x
33=x
c)2x^2=50
x^2=25
x=5
d) /-9-x/=17
-9-x =17 hoặc -9-x =-17
suy ra: x= -26 hoặc x= 8
Bài 6 :
a) \(\dfrac{625}{5^n}=5\Rightarrow\dfrac{5^4}{5^n}=5\Rightarrow5^{4-n}=5^1\Rightarrow4-n=1\Rightarrow n=3\)
b) \(\dfrac{\left(-3\right)^n}{27}=-9\Rightarrow\dfrac{\left(-3\right)^n}{\left(-3\right)^3}=\left(-3\right)^2\Rightarrow\left(-3\right)^{n-3}=\left(-3\right)^2\Rightarrow n-3=2\Rightarrow n=5\)
c) \(3^n.2^n=36\Rightarrow\left(2.3\right)^n=6^2\Rightarrow\left(6\right)^n=6^2\Rightarrow n=6\)
d) \(25^{2n}:5^n=125^2\Rightarrow\left(5^2\right)^{2n}:5^n=\left(5^3\right)^2\Rightarrow5^{4n}:5^n=5^6\Rightarrow\Rightarrow5^{3n}=5^6\Rightarrow3n=6\Rightarrow n=3\)
Bài 7 :
a) \(3^x+3^{x+2}=9^{17}+27^{12}\)
\(\Rightarrow3^x\left(1+3^2\right)=\left(3^2\right)^{17}+\left(3^3\right)^{12}\)
\(\Rightarrow10.3^x=3^{34}+3^{36}\)
\(\Rightarrow10.3^x=3^{34}\left(1+3^2\right)=10.3^{34}\)
\(\Rightarrow3^x=3^{34}\Rightarrow x=34\)
b) \(5^{x+1}-5^x=100.25^{29}\Rightarrow5^x\left(5-1\right)=4.5^2.\left(5^2\right)^{29}\)
\(\Rightarrow4.5^x=4.25^{2.29+2}=4.5^{60}\)
\(\Rightarrow5^x=5^{60}\Rightarrow x=60\)
c) Bài C bạn xem lại đề
d) \(\dfrac{3}{2.4^x}+\dfrac{5}{3.4^{x+2}}=\dfrac{3}{2.4^8}+\dfrac{5}{3.4^{10}}\)
\(\Rightarrow\dfrac{3}{2.4^x}-\dfrac{3}{2.4^8}+\dfrac{5}{3.4^{x+2}}-\dfrac{5}{3.4^{10}}=0\)
\(\Rightarrow\dfrac{3}{2}\left(\dfrac{1}{4^x}-\dfrac{1}{4^8}\right)+\dfrac{5}{3.4^2}\left(\dfrac{1}{4^x}-\dfrac{1}{4^8}\right)=0\)
\(\Rightarrow\left(\dfrac{1}{4^x}-\dfrac{1}{4^8}\right)\left(\dfrac{3}{2}+\dfrac{5}{3.4^2}\right)=0\)
\(\Rightarrow\dfrac{1}{4^x}-\dfrac{1}{4^8}=0\)
\(\Rightarrow\dfrac{4^8-4^x}{4^{x+8}}=0\Rightarrow4^8-4^x=0\left(4^{x+8}>0\right)\Rightarrow4^x=4^8\Rightarrow x=8\)
\(\frac{12}{27}+\frac{2}{3}-\frac{2}{9}\le x\le\frac{11}{7}+\frac{2}{5}-\frac{7}{5}+\frac{3}{7}\)
\(\Leftrightarrow\frac{8}{9}\le x\le1\)
Vậy \(\frac{8}{9}\le x\le1\)
à nhầm ko đọc kĩ đề nên làm lại
\(\left(\frac{12}{27}+\frac{2}{3}\right)-\frac{2}{9}\le x\le\left(\frac{11}{7}+\frac{2}{5}\right)-\frac{7}{5}+\frac{3}{7}\)
\(\Leftrightarrow\frac{8}{9}\le x\le1\)
Mà \(x\in Z\)
\(\Rightarrow x=1\)
Vậy x=1
3x + 27 = 9
3x = 9 - 27
3x = -18
x = -6
Vậy x = -6
2x2 - 1 = 49
2x2 = 49 + 1
2x2 = 50
x2 = 25
x2 = 52
Vậy x = 5
|-9 - x| - 5 = 12
|-9 - x| = 12 + 5
|-9 - x| = 17
x = -9 - 17
x = -26
Bài 1:
2\(x\) = 4
2\(^x\) = 22
\(x=2\)
Vậy \(x=2\)
Bài 2:
2\(^x\) = 8
2\(^x\) = 23
\(x=3\)
Vậy \(x=3\)
1.
a) \(\frac{-7}{9}.2\frac{3}{4}=\frac{-7}{9}.\frac{11}{4}=\frac{-77}{36}\)
b) \(\frac{2}{3}+\frac{1}{3}.\frac{-2}{5}=\frac{2}{3}+\frac{-2}{15}=\frac{8}{15}\)
c) \(\frac{3}{4}.15\frac{1}{3}-\frac{3}{4}.43\frac{1}{3}=\frac{3}{4}.\frac{46}{3}-\frac{3}{4}.\frac{130}{3}=\frac{23}{2}-\frac{65}{2}=-21\)
d) \(\left(-49,1\right).\frac{13}{27}-58,9.\frac{13}{27}=\frac{13}{27}.\left(-49,1-58,9\right)=\frac{13}{27}.\left(-108\right)=-52\)
e) \(0,375:\left(-4,5\right)=\frac{-1}{12}\)
f) \(3\frac{1}{7}:\left(-1\frac{3}{7}\right)=\frac{22}{7}:\frac{-10}{7}=\frac{-11}{5}\)
g) \(9\frac{1}{3}:4\frac{2}{3}-2=\frac{28}{3}:\frac{14}{3}-2=2-2=0\)
h) \(\left(7\frac{3}{4}:0,3125+4,5.2\frac{2}{45}\right):\left(-8,5\right)=\left(\frac{31}{4}:\frac{5}{16}+\frac{9}{2}.\frac{92}{45}\right):\frac{-17}{2}=\left(\frac{124}{5}+\frac{46}{5}\right):\frac{-17}{2}=34:\frac{-17}{2}=-4\)
Bài 1 : Tính:
a)
\(\frac{-7}{9}.2\frac{3}{4}=\frac{-7}{9}.\frac{11}{4}=\frac{-77}{36}\)
b)
\(\frac{2}{3}+\frac{1}{3}.\frac{-2}{5}=\frac{2}{3}+\frac{-2}{15}=\frac{10}{15}+\frac{-2}{15}=\frac{8}{15}\)
c)
\(\frac{3}{4}.15\frac{1}{3}-\frac{3}{4}.43\frac{1}{3}=\frac{3}{4}.\frac{46}{3}-\frac{3}{4}.\frac{130}{3}\)\(=\frac{23}{2}-\frac{65}{2}=\frac{-42}{2}=-21\)
....
Tự lm tiếp dạng như v
Bài 2 :
\(A=\frac{-6}{11}.\frac{7}{10}.\frac{11}{-6}.-20=\left(\frac{-6}{11}.\frac{11}{-6}\right).\left(\frac{7}{10}.-20\right)\)\(=1.\left(-14\right)=-14\)
.....
Bài 3 :
\(\frac{3}{7}.x-\frac{2}{5}.x=\frac{-17}{35}\)
\(\Leftrightarrow\frac{3}{7}-\frac{2}{5}.x=\frac{-17}{35}\)
\(\Leftrightarrow\frac{1}{35}x=\frac{-17}{35}\)
\(\Leftrightarrow x=\frac{-17}{35}:\frac{1}{35}\)
\(\Leftrightarrow x=\frac{-17}{35}.35=-17\)
a, 11 - ( 15 + 11 ) = x - ( 25 - 9 )
11-15-11=x-25+9
-15=x-16
x=1
b, 2 - x = 17 - ( - 5 )
2-x=22
x=-20
c, x - 12 = ( - 9 ) - 15
x-12=-24
x=-12
d, 9 - 25 = ( 7 - x ) - ( 25 + 7 )
(7-x)-32=-16
7-x=16
x=-9
#H
− 12 27 + 2 3 + − 2 9 ≤ x ≤ 11 7 + 2 5 + − 7 5 + 3 7 ⇒ − 4 9 + − 2 9 + 2 3 ≤ x ≤ 11 7 + 2 5 + − 7 5 + 3 7 ⇒ − 2 3 + 2 3 ≤ x ≤ 11 7 + 3 7 + 2 5 + − 7 5 ⇒ 0 ≤ x ≤ 2 + − 1 ⇒ 0 ≤ x ≤ 1 ⇒ x = 1