
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.


a. 2x + 70 = 74
<=> 2x = 4
<=> x = 2
b. 120 - \(\dfrac{4x}{2}\) = 80
<=> 120 - 2x = 80
<=> 120 - 80 = 2x
<=> 2x = 40
<=> x = 20
c. (3x + 5)2 = 400
<=> \(|3x+5|=\sqrt{400}\)
<=> \(|3x+5|=20\)
<=> \(\left[{}\begin{matrix}3x+5=20\\3x+5=-20\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=5\\x=\dfrac{-25}{3}\end{matrix}\right.\)

a) \(x\in\left\{34;51;68;85;102;119;136\right\}\)
b) \(x\in\left\{18;36;54;72\right\}\)
c) \(x\in\left\{12;18\right\}\)
d) \(x\in\left\{1;2;3;5;6\right\}\)
e) \(x\in\left\{3;4;6;10\right\}\)
k) \(x\in\left\{1;2;4;11\right\}\)

\(\frac{x+10}{90}+\frac{x+20}{80}+\frac{x+30}{70}+\frac{x+40}{60}+\frac{x+50}{50}=-5\)
<=> \(\frac{x+10}{90}+1+\frac{x+20}{80}+1+\frac{x+30}{70}+1+\frac{x+40}{60}+1+\frac{x+50}{50}+1=0\)
<=> \(\frac{x+100}{90}+\frac{x+100}{80}+\frac{x+100}{70}+\frac{x+100}{60}+\frac{x+100}{50}=0\)
<=> \(\left(x+100\right)\left(\frac{1}{90}+\frac{1}{80}+\frac{1}{70}+\frac{1}{60}+\frac{1}{50}\right)=0\)
<=> x + 100 = 0
<=> x = -100
Vậy x = -100

A=1/8+1/24+1/48+1/80+1/120+1/168+1/224=>2A=2/8+2/24+2/48+2/80+2/120+2/168+2/224
2A=2/2*4+2/4*6+2/6*8+2/8*10+2/10*12+2/12*14+2/14*16
2A=1/2-1/4+1/4-1/6+1/6-1/8+1/8-1/10+1/10-1/12+1/12-1/14+1/14-1/16
2A=1/2-1/16
2A=7/16
A=7/16:2
A=7/32

a) \(15+2\left|x\right|=-3\\ \\ < =>2\left|x\right|=15-\left(-3\right)\\ < =>2\left|x\right|=18\\ =>\left|x\right|=\frac{18}{2}=9\\ =>x=9hoặcx=-9\)
b) \(\left|x-2\right|=7\\ < =>x-2=7hoặcx-2=-7\\ =>x=9hoặcx=-5\)
c) \(100-4.x^2=224\\ < =>4.x^2=100-224=-124\\ < =>x^2=-\frac{124}{4}=-31\\ Mà:x^2\ge0\\ =>xkhôngcógiátrịnàothoảmãn\)
d)\(2x-\frac{9}{240}=\frac{39}{80}\\ < =>2x-\frac{3}{80}=\frac{39}{80}\\ =>2x=\frac{39}{80}+\frac{3}{80}=\frac{21}{40}\\ =>x=\frac{\frac{21}{40}}{2}=\frac{21}{80}\)

a) \(\left(19x+2\times5^2\right):14=\left(13-8\right)^2-4^2\)
\(\Rightarrow\left(19x+50\right):14=5^2-4^2=25-16=9\)
\(\Rightarrow19x+50=126\)
\(\Rightarrow19x=76\Rightarrow x=4\)
Vậy x = 4
b) \(2\times3^2=10\times3^{12}+8\times27^4\)
\(\Rightarrow2\times3^2=10\times\left(3^3\right)^4+8\times27^4\)
\(\Rightarrow2\times3^2=27^4\times\left(10+8\right)\)
\(\Rightarrow18=27^4\times18\)
\(\Rightarrow27^4\times18-18=0\Rightarrow18\times\left(27^4-1\right)=0\)
=> Không thấy biến x đâu cả
c) Ta thấy 33 = 27
\(\Rightarrow3^{2x-5}=3^3\Rightarrow2x-5=3\Rightarrow2x=8\Rightarrow x=4\)
Vậy x = 4
d) \(3^{x+1}-x=80\Rightarrow3^{x+1}=81\)
Ta thấy 34 = 81
\(\Rightarrow3^{x+1}=3^4\Rightarrow x+1=4\Rightarrow x=3\)
Vậy x = 3

a) (x+5)^5=2^10 =>(x+5)^5=4^5 =>x+5=4=>x=-1
b) 5^x:5^2=125 =>5^x:5^2=5^3 =>5^x=5^3.5^2=5^5 =>5^x=5^5=>x=5
c) (x+1)^2=(x+1)^0 =>x=0 hoặc 1
d) (2+x)+(4+x)+...+(52+x) =780 =>(x+x+...+x) +(2+4+...+52)=780 =>26x+(52+2).26:2=780 =>26x=780-702 =>26x=78=>x=3
d+e) áp dụng công thức ƯC và BC bn nhé. Nếu trình bày ra hơi dài nên bn tự làm nhé.


\(\left[\left(16x-30\right)\cdot8+80\right]:5=224\\ \Rightarrow2\left(8x-15\right)\cdot8+80=1120\\ \Rightarrow16\left(8x-15\right)=1040\\ \Rightarrow8x+15=65\Rightarrow x=\dfrac{65-15}{8}=\dfrac{25}{4}=6,25\)
\(\dfrac{\left[\left(16x-30\right).8\right]+80}{5}=224\)
<=> \(\dfrac{\left(128x-240\right)+80}{5}=224\)
<=> \(\dfrac{128x-240+80}{5}=224\)
<=> \(\dfrac{128x-160}{5}=224\)
<=> 128x - 160 = 224 . 5
<=> 128x - 160 = 1120
<=> 128x = 1120 +160
<=> 128x = 1280
<=> x = 10