x+1+3+5+.....+15=200
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a) 200 - x = (-16)
x = 200 - (-16)
x = 200 + 16
x = 216
Vậy x = 216
b) 2x - 17 = 33
2x = 33 + 17
2x = 50
x = 50 : 2
x = 25
Vậy x = 25
c) \(\left|x\right|\)+ 6 = 15
\(\left|x\right|\) = 15 - 6
\(\left|x\right|\) = 9
=> x = 9 hoặc x = -9
d) 35 - x = (-5)
x = 35 - (-5)
x = 35 + 5
x = 40
Vậy x = 40
e) \(\left|x+1\right|\) - 3 = 5
\(\left|x+1\right|\) = 5 + 3
\(\left|x+1\right|\) = 8
=> x + 1 = 8 hoặc x + 1 = -8
* x + 1 = 8
x = 8-1
x = 7
* x + 1 = (-8)
x = (-8)-1
x = -9
Vậy x = 7 hoặc x = -9
f) 3y - 250 = 200
3y = 200 + 250
3y = 450
y = 450 : 3
y = 150
Vậy y = 150
g) ( xin lỗi câu này mình chưa nghĩ ra được)
h) \(\left|x-1\right|\) = 15
=> x - 1 = 15 hoặc x - 1 = -15
* x - 1 = 15
x = 15 + 1
x = 16
* x - 1 = -15
x = (-15) + 1
x = -14
Vậy x= 16 hoặc x = -14
a, 200 - x = -16
=> x = 200 - (-16)
=> x = 216
b, 2x -17 = 33
=> 2x = 33 + 17
=> 2x = 50
=> x = 50 : 2
=> x = 25
c, |x| + 6 = 15
=> |x| = 15 - 6
=> |x| = 9
=> x = -9 ; 9
d, 35- x = -5
=> x = 35 - (-5)
=> x = 40
e, |x + 1| -3 = 5
=> | x+1| = 5 - (-3)
=> |x+1 | = 8
=> x + 1 = -8 ; 8
* x + 1 = -8
=> x = -8 - 1
=>x = -9
* x + 1 = 8
=> x = 8- 1
=> x = 7
f, 3y - 250 = 200
=> 3y = 200 + 250
=> 3y = 450
=> y = 450 : 3
=> x = 150
g, x ( y- 3) = 21
=> xy - 3x = 21
Nếu xy = 7 thì 3x = 3 vậy x = 1
Nếu xy = 3 thì 3x = 7 vậy x là tập hợp rỗng
Vậy x = 1
h, |x -1| = 15
=> x - 1 = -15; 15
* x- 1 = -15
=> x = -15 + 1
=> x = - 14
* x - 1 = 15
=> x = 15 + 1
=> x =16
Vậy x = -14 ; 16
i, 25 - 3 . | 7- y| =1
=> 3. | 7- y | = 25 - 1
=> 3. | 7-y| = 24
=> | 7-y| = 24 : 3
=> | 7-y| = 8
=> 7-y= -8 ; 8
* 7-y= -8
=> y = 7 - ( -8)
=> y = 15
* 7-y= 8
=> y = 7 - 8
=> y =-1
khỏi chép đề nha
a\Câu 1:
200 : ( 15 - x ) = 15 + 5
200 : ( 15 - x ) = 20
15 - x = 200 : 20
15 - x = 10
x = 15 - 10
x = 5
Câu 2:
63 : ( x - 5 ) = 22 -1
63 : ( x - 5 ) = 21
x - 5 = 63 : 21
x - 5 = 3
x = 3 + 5
x = 8
a: 2x(x+1)-135=-200
=>2(x^2+x)=-65
=>2x^2+2x+65=0
=>x^2+x+32,5=0
=>x^2+x+0,25+32,25=0
=>(x+0,5)^2+32,25=0(vô lý)
b: 4x-5(x-1)+15=13
=>4x-5x+5=-2
=>5-x=-2
=>x=5+2=7
c: 2/3x-1/4=3/5-7/8
=>2/3x=3/5-7/8+1/4=24/40-35/40+10/40=-1/40
=>x=-1/40:2/3=-1/40*3/2=-3/80
d: 1/2(2x-3)+105/2=-137/2
=>1/2(2x-3)=-137/2-105/2=-242/2=-121
=>2x-3=-242
=>2x=-239
=>x=-239/2
\(x^{200}=x\)
\(\Rightarrow\orbr{\begin{cases}x=1\\x=0\end{cases}}\)
\(x^{100}=1\)
\(\Rightarrow x=1\)
\(\left(2x-15\right)^5=\left(2x-15\right)^3\)
\(\Rightarrow2x-15=2x-15\)
\(\Rightarrow x=1\)
Tính :
1-2+3-4+5-6+...+201-202
=(1-2)+(3-4)+(5-6)+...+(201-202) (có 101 cặp)
=(-1)+(-1)+(-1)+...+(-1)
=(-1).101=-101.
Tìm x là số nguyên :
30-(x+1)=-17
x+1=30-(-17)
x+1=47
x=47-1
x=46
Vậy x=46.
x(|15|-10)=53
x(15-10)=53
x.5=53
x=53:5
x=52=25
Vậy x=25
2x+5=7-x-5
2x+x+5=7-5
3x+5=2
3x=2-5
3x=-3
x=(-3):3
x=-1
Vậy x=-1.
a)\(\frac{7}{13}.\frac{7}{15}-\frac{5}{12}.\frac{21}{39}+\frac{49}{21}.\frac{8}{15}\)
=\(\frac{7}{13}.\frac{7}{15}-\frac{5}{12}.\frac{7}{13}+\frac{7}{13}.\frac{8}{15}\)
=\(\frac{7}{13}.\left(\frac{7}{15}-\frac{5}{12}-\frac{8}{15}\right)\)
=\(\frac{7}{13}.\frac{7}{12}\)
=\(\frac{49}{156}\)
b)\(\left(\frac{12}{199}+\frac{23}{200}-\frac{34}{201}\right).\left(\frac{1}{2}-\frac{1}{3}-\frac{1}{6}\right)\)
=\(a.\left(\frac{3}{6}-\frac{2}{6}-\frac{1}{6}\right)\)
=a . 0
=0
Bài 2
a)Có
\(3^{200}=3^{2.100}=\left(3^2\right)^{100}=9^{100}\)
\(2^{300}=2^{3.100}=\left(2^3\right)^{100}=8^{100}\)
Vì 8<9 =>\(8^{100}< 9^{100}\) =>\(3^{200}>2^{300}\)
a) \(5x-65=5.3^2 \\ 5x-65=45\\5x=45+65\\5x=110\\x=22\)
b) \(200-(2x+6)=4^3\\2x+6=200-4^3\\2x+6=136\\2x=130\\x=65\)
c) \(2(x-51)=2.2^3+20\\2(x-51)=16+20\\2(x-51)=36\\x-51=18\\x=51+18=69\)
d) \(135-5(x+4)=35\\5(x+4)=135-45\\5(x-4)=90\\x-4=18\\x=18+4=22\)
e) \((2x-4)(15-3x)=0\\2(x-2).3(5-x)=0\\(x-2)(5-x)=0\\ \left[ \begin{array}{l}x-2=0\\5-x=0\end{array} \right. \\ \left[ \begin{array}{l}x=2\\x=5\end{array} \right.\)
f) \(2^{x+1} . 2^{2014}=2^{2016} \\ (2^{x+1} . 2^{2014}):2^{2014}=2^{2016} :2^{2014} \\ 2^{x=1}=2^{2016-2014} \\2^{x+1}=2^2\\x+1=2\\x=1\)
g) \(15+(x-1)^3=43\\(x-1)^3=15-42\\(x-1)^3=-27\\(x-1)^3=(-3)^3\\x-1=-3\\x=-2\)
h) \(15-x=17+(-9)\\15-x=17-9\\15-x=8\\x=15-8\\x=7\)
i) \(|x-5|=|-7|+|-4|\\|x-5|=7+4\\|x-5|=11\\ \left[ \begin{array}{l}x-5=11\\x-5=-11\end{array} \right. \\ \left[ \begin{array}{l}x=16\\x=-6\end{array} \right.\)
k) \(|x-3|-12=-9+|-7|\\|x-3|-12=-9+7\\|x-3|-12=-2\\|x-3|=10 \\ \left[ \begin{array}{l}x-3=10\\x-3=-10\end{array} \right. \\ \left[ \begin{array}{l}x=13\\x=-7\end{array} \right.\)
136
kb với mình nhé
x + 1 + 3 + 5 + 126 = 200
x = 50
vì 126 + 1 + 3 + 5 + 50 = 200
dung 1000000000000000000000000%