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\((|x-2013|+2014).(x^2+5).(9-x^2)=0\)
\(\Rightarrow\left|x-2013\right|+2014=0\) ( vô lí ) hoặc \(x^2+5=0\) ( vô lí ) hoặc \(9-x^2=0\)
\(\Rightarrow x^2=9\)
\(\Rightarrow x^2=3^2=\left(-3\right)^2\)
Vậy: \(x\in\left\{-3,3\right\}\)
b.\(3^{x+2}\)+4.\(3^{x+1}\)=7.\(3^6\)
\(3^2\).\(3^x\)+4.3.\(3^x\)=7.\(3^6\)
9.\(3^x\)+12.\(3^x\)=7.\(3^6\)
\(3^x\)(9+12)=7.\(3^6\)
\(3^x\).21=7.\(3^6\)
\(3^x\)=7.\(3^6\):21
\(3^x\)=\(3^6\):3
\(3^x\)=\(3^5\)
x=5
x + 4 \(⋮\) x + 1
x + 1 + 3 \(⋮\) x + 1
Mà x+ 1 \(⋮\) x + 1
=> 3 \(⋮\) x + 1
=> x + 1 \(\in\) Ư ( 3 )
=> x + 1 \(\in\) { 1 , 3 }
=> x \(\in\) { 0 , 2 }
\(a)x+4⋮x+1\)
\(\Rightarrow x+1+3⋮x+1\)
Mà x + 1 \(⋮\)x + 1 => x + 1 \(\inƯ(3)=\left\{\pm1;\pm3\right\}\)
Lập bảng :
x + 1 | 1 | -1 | 3 | -3 |
x | 0 | -2 | 2 | -4 |
Vậy \(x\in\left\{0;-2;2;-4\right\}\)
Câu b tự làm
Tk mk nhé
a, \(11^{25}\div11^{23}-3^5\div\left(1^{10}+2^3\right)-60\)
\(=11^{25}\div11^{23}-3^5\div\left(1+8\right)-60\)
\(=11^{25}\div11^{23}-3^5\div3^2-60\)
\(=11^2-3^3-60\)
\(=121-27-60\)
\(=94-60=34\)
b, \(2345-1000\div\left[19-2\left(21-18\right)^2\right]\)
\(=2345-1000\div\left[19-2.3^2\right]\)
\(=2345-1000\div\left[19-2.9\right]\)
\(=2345-1000\div1=2345-1000=1345\)
c, \(128-\left[68+8\left(37-35\right)^2\right]\div4\)
\(=128-\left[68+8.2^2\right]\div4\)
\(=128-\left[68+8.4\right]\div4\)
\(=128-\left[68+32\right]\div4\)
\(=128-100\div4=128-25=103\)
d, \(107-\left\{38+\left[7.3^2-24\div6+\left(9-7\right)^3\right]\right\}\div15\)
\(=107-\left\{38+\left[7.9-4+2^3\right]\right\}\div15\)
\(=107-\left\{38+\left[63-4+8\right]\right\}\div15\)
\(=107-\left\{38+\left[59+8\right]\right\}\div15\)
\(=107-\left\{38+67\right\}\div15\)
\(=107-105\div15\)
\(=107-7=100\)
e, \(50-\left[50-\left(2^3.5\right)\div2+3\right]\)
\(=50-\left[50-8.5\div2+3\right]\)
\(=50-\left[50-40\div2+3\right]\)
\(=50-\left[50-20+3\right]\)
\(=50-\left[30+3\right]\)
\(=50-33=17\)
Bài 2 :
a, \(5\left(x-9\right)=350-5^2\)
\(5\left(x-9\right)=350-25\)
\(5\left(x-9\right)=325\)
\(x-9=325\div5\)
\(x-9=65\)
\(\Rightarrow x=65+9\)
\(\Rightarrow x=74\)
Vậy x = 74
b, \(2\left(x-51\right)=2.2^3+20\)
\(2\left(x-51\right)=16+20\)
\(2\left(x-51\right)=36\)
\(x-51=36\div2\)
\(x-51=18\)
\(\Rightarrow x=18+51\)
\(\Rightarrow x=69\)
Vậy x = 69
c, \(2.3^x=162\)
\(\Rightarrow2.3^x=2.3^4\)
\(\Rightarrow3^x=3^4\)
\(\Rightarrow x=4\)
Vậy x = 4
\(a)2x^2-98=0\)
\(2x^2=0+98\)
\(2x^2=98\)
\(x^2=98:2\)
\(x^2=49\)
\(\rightarrow x^2=7^2\)
\(\rightarrow x=7\)
Vậy x = 7
a, A= 5x415 x 99 - 4x320x 89 = 5x230x318-22x 227x320
=229x318(2x5-32)=229x318
B=5x29x619-7x229x276=5x29x219x3197x229x318
=238x318(5x3-7x2)=228-318
->A:B= 229x318:228:318=2
A. 3
\(7.3^x=189\)
\(\Rightarrow3^x=27\)
\(\Rightarrow3^x=3^3\Rightarrow x=3\)