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a/ 8.6+288:(X-3)2=50
48+288:(x-3)2=50
288:(x-3)2=50-48=2
(x-3)2=288:2=144
(x-3)2=122
x-3=12
x=12+3=15
b/ (x2 - (62-(82-9.7)2- 5.3)3= 1
(x2 - (62-(64-9.7)2- 5.3)3= 1
(x2 - (62-(64-63)2- 5.3)3= 1
(x2 - (62-12- 5.3)3= 1
(x2 - (36-1- 15)3= 1
x2 - 203= 1
x2 - 8000= 1
x2=1+8000=8001
x2=................(de sai
b)
{ x2 - [ 62 - ( 82 - 9.7)3 - 7.5]3 - 5.3 }3 = 1
{ x2 + [ 36 - (64 - 63)3 - 35]3 - 15}3 = 1
[ x2 - ( 36 - 13 - 35 ) - 15 ]3 = 1
[ x2 - ( 36 - 1 - 35 ) - 15]3 = 1
[ x2 - ( 35 - 35 ) - 15]3 = 1
[ x2 - 0 - 15]3 = 1
( x2 - 15 )3 = 1
<=> ( x2 - 15)3 = 13
=> x2 - 15 = 1
<=> x2 = 16
=> x = 4
a, (x+3)(x2 +9) < 0 . suy ra x+3 và x2 +9 trái dấu .
mà x2 luôn > hoặc bằng 0 . Nên x2+9 luôn > hoặc bằng 9 ( mang dấu dương)
vậy x+3 mang dấu âm .
vậy x thuộc tập hợp các số nguyên âm
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) x2 - 15 = 21
=> x2 = 21 + 15
=> x2 = 36
=> x2 = 62
=> x = 6
b) x3 = -8
=> x3 = -23
=> x = - 2
c) 25 - (x + 3)2 = 9
=> (x + 3)2 = 25 - 9
=> (x + 3)2 = 16
=> (x + 3)2 = 42
=> x + 3 = 4
=> x = 1
a)x^2-15=21
x^2 =21+15
x^2 =36
=>x^2=(-6)^2 hoặc x^2=6^2
+)x^2=(-6)^2 +)x^2=6^2
x =-6 x =6
b)x^3=-8 c)25-(x+3)^2=9
x^3=(-2)^3 (x+3)^2=25-9
x =-2 (x+3)^2=16=>(x+3)^2=4^2 hoặc (x+3)^2=(-4)^2
+)(x+3)^2=4^2 +)(x+3)^2=(-4)^2
x+3 =4 x+3 =-4
x =4-3 x =-4-3
x =1 x =-7
Bài 2:a)<=>5(x+4) =125-38
<=>5(x+4)=87
<=>x+4=17,4
<=>x=17,4-4=13.4
b)<=> ( 3x – 24) . 73 = 2.74
<=> (3x – 16) = 2.74 : 73
<=> (3x – 16) =2.7
<=>3x – 16 = 14
<=> 3x = 30
<=> x = 10
c)=> xϵ ƯC (70, 84) và x > 8
Ta có: 70 = 2. 5. 7 => ƯCLN( 70,84) = 2. 7 = 14
84 = 22. 3. 7
=> ƯC (70, 84) = Ư(14) = { 1 ;2; 7; 14 }
Vì x > 8 => x = 14
d)=>xϵ BCNN (12, 25, 30) và 0 < x < 500
=>BC(12,25,30)=B(300) = { 0; 300; 600; …}
Vì 0 < x < 500
=> x = 300
giup minh nha cac ban . lam duoc minh se tick cho va ket ban . cam on cac ban
a) 34 - ( x +50) = 18
<=> x+50 = 34-18
<=> x + 50 = 16
<=> x = 16- 50
<=> x = - 34
b) 2x - 1 = 8
<=> 2x-1 = 23
<=> x - 1 = 3
<=> x = 3+1
<=> x = 4
haizzz ghi đề sai may nỏ
b) 2x-1 = 8
2x-1 = 23
=> x - 1 = 3
=> x = 3 + 1
=> x = 4