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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
\(\Rightarrow3^x.9+3^x=10\)
\(\Rightarrow3^x.10=10\)
\(\Rightarrow3^x=1\)
\(\Rightarrow x=0\)
\(3x.\left(x-3\right)+\left(x-3\right)=0\)
\(\left(3x+1\right).\left(x-3\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x=3\\3x=-1\end{cases}}\Rightarrow\orbr{\begin{cases}x=3\\x=-\frac{1}{3}\end{cases}}\)
vậy \(x=3,x=-\frac{1}{3}\)
\(b,x^3-9x-2x^2+18=0\)
\(x.\left(x^2-9\right)-2.\left(x^2-9\right)=0\)
\(\left(x-2\right).\left(x^2-9\right)=0\)
\(\Rightarrow\orbr{\begin{cases}x=2\\x^2=9\end{cases}}\Rightarrow\orbr{\begin{cases}x=2\\x=3,x=-3\end{cases}}\)
vậy \(x=2,x=3,x=-3\)
a. 1440 : [ 120 - (3x + 9 ) ] = 120
120 - (3x + 9) = 1440 : 120 = 12
3x + 9 = 120 - 12 = 108
3x = 108 - 9 = 99
x = 99 : 3 = 33
b. 120 + [ ( 999 - 9x ) : 60 ] . 24 = 480
[ ( 999 - 9x ) : 60 ] . 24 = 480 - 120 = 360
( 999 - 9x ) : 60 = 360 : 24 = 15
( 999 - 9x ) = 15 . 60 = 900
9x = 999 - 900 = 99
x = 99 : 9 = 11
a) làm lúc này
b) 3x3=9x
=> 3x2=9
=> x2=3
=> x=\(\sqrt{3}\)
c)
c, (x - 3 )2=(3-x)3
=> (x-3)2= - (x-3)3
=> - (x-3)3: (x-3)2=1
=> -x-3=1
=> -x=2
=> x=-2
lik-e minh nhé
\(a,2.\left(x+15\right)-5=35\)
\(\Leftrightarrow2.\left(x+15\right)=35+5\)
\(\Leftrightarrow2.\left(x+15\right)=40\)
\(\Leftrightarrow x+15=40:2\)
\(\Leftrightarrow x+15=20\)
\(\Leftrightarrow x=20-15\)
\(\Leftrightarrow x=5\) \(\text{Vậy }x=5\)
\(b,9x-33=3^{2015}:3^{2014}\)
\(\Leftrightarrow9x-33=3^{2015-2014}\)
\(\Leftrightarrow9x-33=3\)
\(\Leftrightarrow9x=3+33\)
\(\Leftrightarrow9x=36\)
\(\Leftrightarrow x=36:9\)
\(\Leftrightarrow x=4\) \(\text{Vậy }x=4\)
\(c,3.\left(2x-4\right)^3=24\)
\(\Leftrightarrow\left(2x-4\right)^3=24:3\)
\(\Leftrightarrow\left(2x-4\right)^3=8\)
\(\Leftrightarrow\left(2x-4\right)^3=2^3\)
\(\Leftrightarrow2x-4=2\)
\(\Leftrightarrow2x=2+4\)
\(\Leftrightarrow2x=6\)
\(\Leftrightarrow x=6:2\)
\(\Leftrightarrow x=3\) \(\text{Vậy }x=3\)
\(d,\left(x-140\right):7=3\)
\(\Leftrightarrow\left(x-140\right)=3.7\)
\(\Leftrightarrow x-140=21\)
\(\Leftrightarrow x=21+140\)
\(\Leftrightarrow x=161\) \(\text{Vậy }x=161\)
\(e,2.3^x-5^3:5^5=29\)
\(\Leftrightarrow2.3^x-5^3:5^3:5^2=29\)
\(\Leftrightarrow2.3^x-1:5^2=29\)
\(\Leftrightarrow2.3^x-\frac{1}{25}=29\)
\(\Leftrightarrow2.3^x=29+\frac{1}{25}\)
\(\Leftrightarrow2.3^x=\frac{726}{25}\)
\(\Leftrightarrow3^x=\frac{726}{25}:2\)
\(\Leftrightarrow3^x=\frac{726}{25}:2\)
\(\Leftrightarrow3^x=\frac{363}{25}\)
\(\Leftrightarrow3^x=3^{2,435369636...}\)
\(\Leftrightarrow x=2,435369636...\)
\(\text{Vậy }x=2,435369636\left(\text{bạn thử kiểm tra lại đề nha}\right)\)
\(f,12:x\text{ và }x\le5\)
\(\text{Do }x\le5\)
\(\Leftrightarrow12:x\le2,4\left(\text{lấy 12 chia cho cả 2 vế}\right)\)
\(\text{Câu này bạn phải cho điều kiện }x\in N,\text{nếu không x có nhiều giá trị lắm }\)
\(\text{Nếu }x\in N\Rightarrow12:x\in N\)
\(\Leftrightarrow12:x\le2,4\left(\text{lấy 12 chia cho cả 2 vế}\right)\)
\(\Rightarrow12:x\in\left\{0;1;2\right\}\)
\(\begin{matrix}12:x&0&1&2\\x&x\in\varnothing&12&6\\\text{Đánh giá}&Loại&Chọn&Chọn\end{matrix}\)
\(\text{Vậy }x\in\left\{6;12\right\}\)
\(g,3x-2x+7x=16\)
\(\Leftrightarrow x.\left(3-2+7\right)=16\)
\(\Leftrightarrow x.8=16\)
\(\Leftrightarrow x=16:8\)
\(\Leftrightarrow x=2\) \(\text{Vậy }x=2\)
\(h,5^{10}.\left(2x-1\right)=5^{12}\)
\(\Leftrightarrow2x-1=5^{12}:5^{10}\)
\(\Leftrightarrow2x-1=5^2\)
\(\Leftrightarrow2x-1=25\)
\(\Leftrightarrow2x=25+1\)
\(\Leftrightarrow2x=26\)
\(\Leftrightarrow x=26:2\)
\(\Leftrightarrow x=13\) \(\text{Vậy }x=13\)
\(i,5⋮\left(x+1\right)\)
\(\Rightarrow x+1\inƯ\left(5\right)=\left\{-1;1;-5;5\right\}\)
x+1 | 1 | -1 | 5 | -5 |
x | 0 | -2 | 4 | -6 |
Đánh giá | Chọn | Chọn | Chọn | Chọn |
\(\text{Vậy }x\in\left\{-6;-2;0;4\right\}\)
a)x- 72 =8
x= 8+72
x=80
b) 2.3^x=162
3x=162:2
3x=81
x=81:3
x=27
c)
3x+3x+2=810
=> 3x.(1+32)=810
=> 3x.(1+9)=810
=> 3x.10=810
=> 3x=810:10
=> 3x=81
=> 3x=34
=> x=4
a, X-72=8
<=>X=8+72
<=>X=80
b,2.3x=162
<=>3x=162:2
<=>3x=81
<=>3x=34 =>X=4
c,3x+3x+2=810
<=>3x.1+3x.32=810
<=>3x(1+32)=810
<=>3x+10=810
<=>3x=810:10=81
Mà 34=81 hoặc (-3)4=81
vậy x=4 hoặc x=-4 .
a)15x-9x+2x=72
(15x-9x)+2x=72
6x+2x=72
8x =72
x=72:8
x=9
Vậy x= 9
b)\(3^{x+2}+3^x=10\)
\(3^x.3^2+3^x=10\)
\(3^x.\left(3^2+1\right)=10\)
\(3^x.10=10\)
\(3^x=10:10\)
\(3^x=1\)
\(3^x=3^0\)
\(x=0\)
Vậy x=o