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a) \(13-18-\left(-42\right)-15\)
\(=13-18+42-15\)
\(=\left(13-18-15\right)+42\)
\(=-20+42\)
\(=22\)
b) \(369-4.\left[-5+4.\left(-8\right)\right]\)
\(=369-4.\left[-5+\left(-32\right)\right]\)
\(=369-4.\left(-37\right)\)
\(=369+148\)
\(=517\)
c) \(\left(-8\right)^3\div\left(-8\right)^2+8\)
\(=-8+8\)
\(=0\)
d) \(\left(-12\right).\left(-13\right)+13.\left(-29\right)\)
\(=12.13+13.\left(-29\right)\)
\(=13.\left(-29+12\right)\)
\(=13.\left(-17\right)\)
\(=-221\)
\(\left|-9-x\right|-5=12\)
\(\Leftrightarrow\left|-9-x\right|=12+5\)
\(\Leftrightarrow\left|-9-x\right|=17\)
\(\Leftrightarrow\orbr{\begin{cases}-9-x=17\\-9-x=-17\end{cases}\Leftrightarrow}\orbr{\begin{cases}x=-9-17\\x=-9-\left(-17\right)\end{cases}\Leftrightarrow\orbr{\begin{cases}x=-36\\x=8\end{cases}}}\)
Vậy \(x=-36\)hoặc \(x=8\)
\(A=\frac{23n+1}{n-2}=\frac{23n-46+46+1}{n-2}=\frac{23\left(n-2\right)+47}{n-2}=23+\frac{47}{n-2}\)
A là số nguyên <=> \(\frac{47}{n-2}\) là số nguyên <=> \(47⋮n-2\) hay \(n-2\inƯ\left(47\right)=\left\{-47;-1;1;47\right\}\)
<=> \(n\in\left\{-45;1;3;49\right\}\)
Kết luận:...
\(A=\frac{23n+1}{n-2}=\frac{23\left(n-2\right)+47}{n-2}=23+\frac{47}{n-2}\)
A nguyên <=> \(\frac{47}{n-2}\)nguyên
=> \(47⋮n-2\)=> \(n-2\inƯ\left(47\right)=\left\{\pm1;\pm47\right\}\)
n-2 | 1 | -1 | 47 | -47 |
n | 3 | 1 | 49 | -45 |
2x2 - 1 = 49
2x2 = 49 +1
2x2 = 50
x2 = 50 : 2
x2 = 25
x = 5 hoac -5
Vay ...
2x2 - 1 = 49
2x2 =49+1
2x2 =50
x2 =50:2
x2 =25
x2 =52
=>x=5
vậy x=5
nhớ k cho mình nha
1:30
( - 43 ) - 26
= ( - 69 )
123 + ( - 123 )
= 123 - 123
= 0
( - 56 ) + / - 32 /
= ( -56 ) + 32
= ( -24 )
13 + /-13/
= 13 + 13
= 26
/ - 4 / + / + 15/
= 4 + 15
= 19
( - 5 ) + (- 9) + (-11) + 5
= ( -14 ) + ( -11 ) + 5
= ( -25 ) + 5
= ( -20 )
(-8 ) + (- 13 ) + ( - 54 ) + (-67)
= ( -21 ) + ( -54 ) + ( -67 )
= ( -75 ) + ( -67 )
= ( -142 )
- 15 - 9 - 11 - 24
= -24 - 11 - 24
= -35 - 24
= ( -59 )
#Chúc em học tốt
34 + (- 43 ) + 66 - 57
= ( -9 ) + 66 - 57
= 57 - 57
= 0
/ - 8 / + / -4 / - ( - 12 ) + 5
= 8 + 4 + 12 + 5
= 12 + 12 + 5
= 24 + 5
= 29
12 + 38 - 30 - 22
= 50 - 30 - 22
= 20 - 22
= ( -2 )
56 + (-32) - 51 + 44 - 17
= 56 - 32 - 51 + 44 - 17
= 24 - 51 + 44 - 17
= ( -27 ) + 44 - 17
= 17 - 17
= 0
#Chúc em học tốt
\(E=\frac{3^2}{8.11}+\frac{3^2}{11.14}+\frac{3^2}{14.17}+...+\frac{3^2}{197.200}\)
\(=\frac{9}{8.11}+\frac{9}{11.14}+\frac{9}{14.17}+...+\frac{9}{197.200}\)
\(\Rightarrow\frac{1}{3}.E=\frac{3}{8.11}+\frac{3}{11.14}+\frac{3}{14.17}+...+\frac{3}{197.200}\)
\(=\frac{1}{8}-\frac{1}{11}+\frac{1}{11}-\frac{1}{14}+\frac{1}{14}-\frac{1}{17}+...+\frac{1}{197}-\frac{1}{200}\)
\(=\frac{1}{8}-\frac{1}{200}=\frac{3}{25}\)
\(\Rightarrow E=\frac{3}{25}\div\frac{1}{3}=\frac{9}{25}\)
10-(5-x)=30+(2x-3)
10-5+x=30+2x-3
5+x=27+2x
x-2x=27-5
-x=22
x=-22
a) \(2x^2-72=0\)
\(\Leftrightarrow2\left(x^2-36\right)=0\Leftrightarrow x^2-36=0\Leftrightarrow x=_-+6\)
\(2x^2-72=0\)
\(\Leftrightarrow2x^2=72\)
\(\Leftrightarrow x^2=36\)
\(\Leftrightarrow x=\sqrt{36}=6\)
b) số xấu
\(\left[\frac{3}{4}-x\right]^3=-8\)
\(\Leftrightarrow\left[\frac{3}{4}-x\right]^3=\left(-2\right)^3\)
\(\Leftrightarrow\frac{3}{4}-x=-2\)
\(\Leftrightarrow x=\frac{3}{4}-\left(-2\right)\)
\(\Leftrightarrow x=\frac{3}{4}+2=\frac{3}{4}+\frac{8}{4}=\frac{11}{4}\)
\(6x-\left(-5\right)=17\)
\(6x+5=17\)
\(6x=17-5\)
\(6x\)\(=12\)
\(x=12:6\)
\(x=2\)
Chúc cậu hk tốt ~
\(6x-(-5)=17\)
\(6x=17+(-5)\)
\(6x=12\)
\(x=12\div6\)
\(x=2\)
Vậy x = 2