Tìm x biết:
a) (2x-4).(3x+12)=0
b) 697:\(\frac{15x+364}{x}\)=17
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\(697:\frac{15x+364}{x}=17\)
\(\left(=\right)\frac{15x+364}{x}=41\)
\(\left(=\right)15x+364=41.x\)
\(\left(=\right)41x-15x=364\)
\(\left(=\right)26x=364\)
\(\left(=\right)x=14\)
\(697:\frac{15x+364}{x}=17\)
\(\Rightarrow\frac{15x+364}{x}=697:17\)
\(\Rightarrow\frac{15x+364}{x}=41\)
\(\Rightarrow15x+364=41x\)
\(\Rightarrow41x-15x=364\)
\(\Rightarrow26x=364\)
\(\Rightarrow x=364:26\)
\(\Rightarrow x=14\)
Vậy x = 14
_Chúc bạn học tốt_
Bài 1:
B = 1+2-3-4 + 5 + 6-7-8 + 9+10-11-12+...+110-111-112+113+114
B = 1 + (-5) + 5 + 9 + (-13)+...+ (-113) + 113 + 114
B = 1 + 114
B = 115
Bài 2:
697 : [(15x+364) : x ] = 17
(15x+364) . 1/x = 697 : 17
(15x+364) . 1/x = 41
15x. 1/x + 364.1/x = 41
15 + 364/x = 41
364/ x = 41-15
364/x = 26
x = 364 : 26
x = 14
Ta sẽ nhóm 4 số với nhau
B=(1+2-3-4)+(5+6-7-8)+(9+10-11-12)+...+(109+110-111-112)+113+114
B=-4+(-4)+(-4)+...+(-4)+113+114 (Có 28 thừa số -4)
B=-4*28+113+114
\(697:\left(15x+364\right):x=17\)
\(\Leftrightarrow697:\left(15x+364\right)=17x\)
\(\Leftrightarrow697=17x\left(15x+364\right)\)
\(\Leftrightarrow255x^2+6188x-697=0\)
\(\Leftrightarrow nghiem-xau-minh-khong-lam-nhe!\)
[(x + 32) - 17] . 2 = 42
(x + 32) - 17 = 42 : 2
(x + 32) - 17 = 21
x + 32 = 21 + 17
x + 32 = 38
x = 38 - 32
x = 6
Vậy x = 6
15x+364= 41x
41x - 15x = 364
26x = 364
X= 364 : 26
X = 14
Tk cho mình nha yêu nhiều! Chúc bạn học tốt!
( 15x + 364 ) : x = 697 : 17
<=> ( 15x + 364 ) : x = 41
<=> 15x + 364 = 41x
<=> 364 = 26x
<=> x = 364 : 26
<=> x = 14
Vậy x = 14
~ Hok tốt ~
a)
\(512-\left(128-5x\right)=3x+12\\ 512-128+5x=3x+12\\ 384+5x=3x+12\\ 5x-3x=12-384\\ 2x=-372\\ x=\left(-372\right):2\\ x=-186\)
b)
\(\left(2x-1\right)+\left(4x-2\right)+...+\left(400x-200\right)=5+10+...+1000\\ \left(2x+4x+...+400x\right)-\left(1+2+...+200\right)=5+10+...+1000\\ x\left(2+4+...+400\right)=\left(5+10+...+1000\right)+\left(1+2+...+200\right)\\ 2x\cdot\left(1+2+...+200\right)=5\cdot\left(1+2+...+200\right)+1\cdot\left(1+2+...+200\right)\\ 2x\cdot\left(1+2+...+200\right)=\left(5+1\right)\cdot\left(1+2+...+200\right)\\ 2x\cdot\left(1+2+...+200\right)=6\cdot\left(1+2+...+200\right)\\ \Rightarrow2x=6\\ x=6:2\\ x=3\)
c)
\(\left(x+2\right)+\left(4x+4\right)+\left(7x+6\right)+...+\left(25x+18\right)+\left(28x+20\right)=1560\\ \left(x+4x+7x+...+25x+28x\right)+\left(2+4+6+...+18+20\right)=1560\\ x\left(1+4+7+...+25+28\right)+110=1560\\ 145x+110=1560\\ 145x=1560-110\\ 145x=1450\\ x=1450:145\\ x=10\)
d)
\(x+4x+5x+9x+14x+...+97x=500\\ x\left(1+4+5+9+14+...+97\right)=500\)
Dãy số trong ngoặc có quy luật: Số thứ \(n\) bằng số thứ \(n-1\) cộng số thứ \(n-2\)
Suy ra dãy số đó là: \(1+4+5+9+14+23+37+60+97=250\)
Thế vào ta được:
\(250x=500\\ x=500:250\\ x=2\)
e)
\(720-\left[41-\left(2x-5\right)\right]=2^3\cdot5\\ 720-41+\left(2x-5\right)=8\cdot5\\ 720-41+2x-5=40\\ \left(720-41-5\right)+2x=40\\ 674+2x=40\\ 2x=40-674\\ 2x=-634\\ x=\left(-634\right):2\\ x=-317\)
f)
\(697:\dfrac{15x+364}{x}=17\\ \dfrac{15x+364}{x}=697:17\\ \dfrac{15x+364}{x}=41\\ \dfrac{15x+364}{x}\cdot x=41x\\ 15x+364=41x\\ 364=41x-15x\\ 364=26x\\ x=364:26\\ x=14\)
697:(15x+364):x=17
=> 15+360:x = 697:17=41
=> 360:x=41-15=26
=> x=360:26=180/13
92.4-27=(x+350):x+315
=> 1+350:x+315=341
=> 350:x = 341 -316=25
-> x=350:25=14
720:(41-(2x-51)=23.5
=> 41-(2x-51)= 720 :40=18
=> 2x=41-18+51=74
=> x=74:2=37
(x+1)+(x+2)+(x+3)+...+(x+100)=5750
=>(x+x+...+x) +(1+2+3+..+99+100)=5750
=> 100.x +(100+1).100:2= 5750
=>100.x= 5750-5050=700
=> x=700:100=7
( L-i-k-e )
697 : (15x + 364) : x = 17
=> 15 + 360 : x = 697 : 17 = 41
=> 360 : x = 41 - 15 = 26
=> x = 360 : 26 = 180/13
92.4 - 27 = (x + 350) : x + 315
=> 1 + 350 : x + 315 = 341
=> 350 : x = 341 - 316 = 25
-> x = 350: 25 = 14
720 : (41 - (2 x - 51) = 23.5
=> 41 - (2 x -51) = 720 : 40 = 18
=> 2x = 41 - 18 + 51 = 74
=> x = 74 : 2 = 37
(x + 1) + (x + 2) + (x + 3) +...+ (x + 100) = 5750
=>(x + x +...+ x) +(1 + 2 + 3 +...+ 99 + 100) = 5750
=> 100.x + (100 + 1).100 : 2 = 5750
=>100.x = 5750 - 5050 = 700
=> x = 700 : 100 = 7
a, \(\left(2x-4\right)\left(3x+12\right)=0\)
\(\Rightarrow\orbr{\begin{cases}2x-4=0\\3x+12=0\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}2x=4\\3x=-12\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=2\\x=-4\end{cases}}\)
b, \(697\div\frac{15x+364}{x}=17\)
\(\Rightarrow\frac{15x+364}{x}=697\div17\)
\(\Rightarrow\left(15x+364\right)\div x=41\)
\(\Rightarrow15x+364=41x\)
\(\Rightarrow15x-41x=-364\)
\(\Rightarrow-26x=-364\)
\(\Rightarrow x=-364\div\left(-26\right)\)
\(\Rightarrow x=14\)