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Bài 1:Tính
a) = -343 . 16
= -5488
b) = 625 . 16
= 10000
Bài 2:
a) 2x = 15 + 35
2x = 50
x = 50 : 2
x = 25
b) 3x = 2 - 17
3x = -15
x = -15 : 3
x = -5
c) x - 1 = 0
x = 0 + 1
x = 1
Bài 2 :
a) 2x - 35 = 15
2x = 15 + 35
2x = 50
x = 50 : 2
x = 25
b ) tương tự câu a)
c) | x - 1 | = 0
=> x - 1 = 0
x = 0 + 1
x = 1
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a; -2\(x\) - 3.(\(x-17\)) = 34 - 2.( - \(x\) + 25)
- 2\(x\) - 3\(x\) + 51 = 34 + 2\(x\) - 50
2\(x\) + 2\(x\) + 3\(x\) = - 34 + 50 + 51
7\(x\) = 67
\(x\) = 67 : 7
\(x\) = \(\dfrac{67}{7}\)
Vậy \(x\) = \(\dfrac{67}{7}\)
b; 17\(x\) + 3.(- 16\(x\) - 37) = 2\(x\) + 43 - 4\(x\)
17\(x\) - 48\(x\) - 111 = 2\(x\) - 4\(x\) + 43
- 31\(x\) - 2\(x\) + 4\(x\) = 111 + 43
- \(x\) x (31 + 2 - 4) = 154
- \(x\) x (33 - 4) = 154
- \(x\) x 29 = 154
- \(x\) = 154 : (-29)
\(x\) = - \(\dfrac{154}{29}\)
Vậy \(x=-\dfrac{154}{29}\)
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a) \(\text{2(x-51)=2.2^2+20}\)
\(2\left(x-51\right)=2.4+20\)
\(2\left(x-51\right)=28\)
\(x-51=28\div2\)
\(x-51=14\)
\(x=14+51\)
\(\text{b)3.(x+1)-26=541}\)
\(3.\left(x+1\right)=541+26\)
\(3\cdot\left(x+1\right)=567\)
\(x+1=567\div3\)
\(x+1=189\)
\(x=189-1\)
\(x=188\)
\(x=65\)
\(\text{c)4(x-3)=7^2-1^10}\)
\(4\left(x-3\right)=49-1\)
\(4\left(x-3\right)=48\)
\(x-3=48\div4\)
\(x-3=12\)
\(x=12+3\)
\(x=15\)
\(\text{e)2x-138=2^3.3^2}\)
\(2x-138=8\cdot9\)
\(2x-138=72\)
\(2x=72+138\)
\(2x=210\)
\(x=210\div2\)
\(x=105\)
\(\text{f)(x-1)^4=16}\)
\(\left(x-1\right)^4=2^4\)
\(x-1=2\)
\(x=2+1\)
\(x=3\)
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A )123 -5 ( x -4 ) = 38
=> x-4 = (123-38) :(-5)
=> x-4=-17
=> x= -17+4=-13
B ) ( 3x - 24 ) 73 = 2.74
=> 3x-16= 2.74 :73=14
=> 3x=14+16=30
=> x=30:3=10
C ) ( 2600 + 6400 ) - 3x = 1200
=> 9000-3x=1200
=> 3x=9000-1200=7800
=> x=7800:3=2600
D ) [( 6x - 72 ) : 2 - 84 ] 28 = 5628
=> (6x-72) :2-84= 5628:28=201
=> 6x-72 = (201+84) .2=570
=> 6x=570 +72=642
=> x= 642:6=107
( L-IKE )
A) 123 - 5(x-4) = 38
5(x-4) = 123 - 38
x-4 = 85 : 5
x = 17 + 4
x= 21
B) (3x - 24)73 = 2.74
(3x - 24) = 2.74:73
3x = 14 + 24
x = 30 : 3 = 10
C) (2600 + 6400) - 3x = 1200
9000 - 3x = 1200
3x = 9000 - 1200
x = 7800 : 3 = 2600
D) [(6x - 72) : 2 - 84].28 = 5628
(6x - 72) : 2 - 84 = 5628 : 28 = 201
(6x - 72) : 2 = 201 + 84 = 285
6x - 72 = 285 . 2 = 570
6x = 570 + 72 = 642
x = 642 : 6 = 107
Có thể thử lại đáp án
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a)3x-1=100+10 b)5^(2x-3)-50=75 c)(3x-16).7^5=2.7^6 d)(x-1)^5+3^2.5=72
3x=111 5^2x-3=75+50 3x-16=7^6:7^5.2 (x-1)^2=72-9.5
x=111:3 5^2x-3=125=5^3 3x-16=14 (x-1)^2=27
x=37 =>2x-3=3 3x=16+14 làm thành 2 trường hợp
2x=6 3x=30 .. .....
x=3 x=10
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Đặt A= 1.2+2.3 +.......+99.100
3A= 1.2.3+2.3.4+3.4.3 +......+ 99.100.3
3A= 1.2. (3 - 0) + 2.3.(4 - 1) +3.4. (5 - 2)....... . 99.100. (101 - 98)
3A = (1.2.3 + 2.3.4 + 3.4.5 +...... + 99.100.101) - (0.1.2 + 1.2.3 + 2.3.4 +.......+ 98.99.100)
3A = 99.100.101 - 0.1.2
3A = 999900 - 0
3A= 999900
A= 999900 : 3
A = 333300
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a)(-6-18):(-4)
= { (-6) + (-8) } : (-4)
=(-24) : (-4)= (-6)
b)-28.(50-42)-35.(34-62)
= -28.8-35.(-28)
= -28.(8-35)
= -28.(-27)=756
c)-18-(-5)+26
= -18+5+26
= -13+26=13
d)-72.69+31.(-72)
= -72.(69+31)
= -72.100=-7200
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a) pt <=> \(\frac{x\left(x+1\right)}{2}=500500\)
<=> \(x^2+x=1001000\)
<=> \(x^2-1000x+1001x-1001000=0\)
<=> \(\left(x-1000\right)\left(x+1001\right)=0\)
<=> \(\orbr{\begin{cases}x=1000\\x=-1001\end{cases}}\)
Do \(x>0\)=> \(x=1000\)
b)
<=> \(2x=210\)
<=> \(x=105\)
c)
<=> \(6x-81=3.7\)
<=> \(x=17\)
d)
<=> \(125-5\left(3x-1\right)=5^2\)
<=> \(5\left(3x-1\right)=100\)
<=> \(3x-1=20\)
<=> \(x=7\)
e)
<=> \(4^{x+1}+1=65\)
<=> \(4^{x+1}=64\)
<=> \(x+1=3\)
<=> \(x=2\)
j)
<=> \(2\left(2x-3\right)=14\)
<=> \(2x-3=7\)
<=> \(x=5\)