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a,\(96-3x+1=42\)
<=> 97-3x=42
<=> 3x=55
<=>x=\(\frac{55}{3}\)
vậy.......
b, 15x-9x+2x=72
<=>8x=72
<=>x=9
vậy.....
c,\(3^{x+2}+3^x=10\)
\(\Leftrightarrow3^x\left(3^2+1\right)=10\)
\(\Leftrightarrow3^x=1\)
\(\Leftrightarrow x=0\)
vậy........
a 96 - 3 . x +1 = 42
96-3.x= 42-1
96 - 3 . x = 41
3.x= 96-41
3.x= 55
x= 55 : 3
x= \(\frac{55}{3}\)
b, 15x - 9x + 2x = 72
x.( 15-9+2) = 72
x8=72
x=72:8
x=9
c, 3x+2 + 3x = 10
\(\Rightarrow3^x.9+3^x=10\)
\(\Rightarrow3^x.10=10\)
\(\Rightarrow3^x=1\)
\(\Rightarrow x=0\)
a)4.(x+3)-(2x-12)=x-(-11+4)
4x+12-2x+12=x+11-4
2x+24=x+7
2x-x=-24+7
x=-17
b)-(4x-13)+(5x-4)=-3-(-15+7)
-4x+13+5x-4=-3+15-7
(-4x+5x)+13-4=12-7
x+9=5
x=-4
c)(5x-3)-(-2x+4)=6x-12
5x-3+2x-4=6x-12
5x+2x-6x=3+4-12
x=-5
d)(15x+20)-(9x-3)=5x-(-12)
15x+20-9x+3=5x+12
15x-9x-5x=-20-3+12
x=-11
e,(7x+14)+(3x-8)=-(-9x+3)
7x+14+3x-8=9x-3
7x+3x-9x=-14+8-3
x=-9
B1:
a, 25-x=15
x=25-15 =10
b,9+2.x=3^7 : 3^4
9+2.x = 3^3
2.x=27-9
2.x=18
x=18:2=9
2:
a: 15x-9x+2x=72
=>17x-9x=72
=>8x=72
=>x=9
b:Sửa đề: 96-7*(x+1)=12^4:12^3
=>96-7(x+1)=12
=>7*(x+1)=84
=>x+1=12
=>x=11
c: 2^x*4=128
=>2^x=32
=>x=5
1:
c: 41-(2x-5)=18
=>2x-5=41-18=23
=>2x=28
=>x=13
d: \(2^{x-2}=11\)
mà x nguyên
nên \(x\in\varnothing\)
18x -19 = 21 + 8x
18 x - 8x = 21 + 19
10 x = 40
x =4
g) 18 -4x=-20-6x
-4x + 6x = -20 - 18
2x = -38
x= -19
k, -10 \(x\) - 27 = -7\(x\) + 33
-27 - 33 = -7\(x\) + 10\(x\)
3\(x\) = -60
\(x\) - 20
m, -17\(x\) - 24 = -9\(x\) - 40
-24 + 40 = -9\(x\) + 17\(x\)
8\(x\) = 16
\(x\) = 2
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)
\(697:\dfrac{15x+364}{x}=17\\ \dfrac{15x+364}{x}=697:17\\ \dfrac{15x+364}{x}=41\\ \dfrac{15x+364}{x}\cdot x=41x\\ 15x+364=41x\\ 364=41x-15x\\ 364=26x\\ x=364:26\\ x=14\)
15x-9x+2x=72
=> 8x=72
=> x = 72/8 = 9
Chúc e học tốt!
\(15x-9x+2x=72\)
\(\Rightarrow x\left(15-9+2\right)=72\)
\(\Rightarrow x.8=72\)
\(\Rightarrow x=72:8\)
\(\Rightarrow x=9\)