A=126/{60/[(\(3^2+4^2\))-5]}
1.
a) 2x + 5 = 34 : 32
b) ( 3x - 24 ) . 73 = 2.74
c) [ 3 . ( 42 - x ) + 15 = 23 . 3
d) 126 + ( 132 - x ) = 300
2.
a) 120 - ( x + 55 ) = 60
b) ( 7x - 11)3 = 25 .52 + 200
c) 2x + 2x+4 = 544
3.
a) 10 + 2x = 49 : 47
b) 70 - 5 ( x - 3 ) = 45
c) 4 + 95 : x = 143 : 142 - 23
1)
a) 2x + 5 = 3⁴ : 3²
2x + 5 = 3²
2x + 5 = 9
2x = 9 - 5
2x = 4
x = 4 : 2
x = 2
b) (3x - 24).73 = 2.74
(3x - 24).73 = 148
3x - 24 = 148/73
3x = 148/73 + 24
3x = 1900/73
x = 1900/73 : 3
x = 1900/219
c) [3.(42 - x)] + 15 = 23.3
126 - 3x + 15 = 69
141 - 3x = 69
3x = 141 - 69
3x = 72
x = 72 : 3
x = 24
d) 126 + (132 - x) = 300
132 - x = 300 - 126
132 - x = 174
x = 132 - 174
x = -42
2)
a) 120 - (x + 55) = 60
x + 55 = 120 - 60
x + 155 = 60
x = 60 - 55
x = 5
b) (7x - 11).3 = 25.52 + 200
(7x - 11).3 = 1500
7x - 11 = 1500 : 3
7x - 11 = 500
7x = 500 + 11
7x = 511
x = 511 : 7
x = 73
c) 2x + 2x + 4 = 544
4x = 544 - 4
4x = 540
x = 540 : 4
x = 135
3)
a) 10 + 2x = 49 : 47
10 + 2x = 49/47
2x = 49/47 - 10
2x = -421/47
x = -421/47 : 2
x = -421/94
b) 70 - 5(x - 3) = 45
5(x - 3) = 70 - 45
5(x - 3) = 25
x - 3 = 25 : 5
x - 3 = 5
x = 5 + 3
x = 8
c) 4 + 95 : x = 143 : 142 - 23
4 + 95 : x = -3123/142
95 : x = -3123/142 - 4
95 : x = -3691/142
x = 95 : (-3691/142)
x = -13490/3691
1. (-12)+(-15)+(-31) | 2. 25+37-59 | 3. (-12)+13-(-60)
4. 24:(-2)+(-5) | 5. 32.(-2)+64 | 6. 18.3+(-50):5
7. (-24)+37+163+(-176) | 8. 125+217+(-625)+529 | 9. 29+132+237+868+763
10. (-87)+126+187+74 | 11. 29.87+29.13 | 12. 123.(-29)-23.(-29)
13. 31.(-18)+31.(-81)-31 | 14.(-12).47+(-12).52+(-12) | 15. 24.(16-5)-16.(24-5)
16. 29.(29-3)-19.(29-13) | 17. -452-(-67+75-452) | 18. -(-171+89+223)-(71-111)+223
19. 21.83-3.7.(-17) | 20. 35-{12-[-14+(-2)]} | 21.5+10+15+20+....+1000
22. 3-6+9-12+....+195-198
A=31/2*32/2...*60/2
B=1*3*5*...*59
C=20/30+20/70+20/126+....+20/798
CMR:C>A:B
đố làm được
(2 điểm) Tính nhanh
a. 4 x 126 x 25
b. (9 x 8 – 12 – 5 x 12) x ( 1 + 2 + 3 + 4 + 5)
a. 4 x 126 x 25
= (4 x 25) x 126
= 100 x 126
= 12600
b. (9 x 8 – 12 – 5 x 12) x ( 1 + 2 + 3 + 4 + 5)
= (72 – 12 – 60) x ( 1 + 2 + 3 + 4 + 5)
= 0 x ( 1 + 2 + 3 + 4 + 5)
= 0
chứng minh rằng A=5+5^2+5^3+5^4+........+5^96 chia hết cho 126
S=5+5^2+5^3+....+5^96=
= 5+5^2+5^3+ 5^4+5^5+5^6....+ +5^91 + 5^92+5^93 +5^94 +5^95 +5^96
=(5+5^2+5^3+ 5^4+5^5+5^6)(1+5^6 + ... +5^90)=
=5* 126*31*(1+5^6 + ... +5^90)= 5* 126*31*(1+5^4 + ... +5^90) chia hết cho 126
a/ 5x+3 +5x=126
\(\dfrac{9-3x}{2}=\dfrac{5-2x}{3}\)
c/ 7-4(x+1)=5
a) \(5^{x+3}+5^x=126\)
\(\Rightarrow5^x\cdot\left(5^3+1\right)=126\)
\(\Rightarrow5^x\cdot\left(125+1\right)=126\)
\(\Rightarrow5^x=\dfrac{126}{126}\)
\(\Rightarrow5^x=1\)
\(\Rightarrow5^x=5^0\)
\(\Rightarrow x=0\)
b) \(\dfrac{9-3x}{2}=\dfrac{5-2x}{3}\)
\(\Rightarrow\dfrac{3\cdot\left(9-3x\right)}{6}=\dfrac{2\cdot\left(5-2x\right)}{6}\)
\(\Rightarrow3\cdot\left(9-3x\right)=2\cdot\left(5-2x\right)\)
\(\Rightarrow27-9x=10-4x\)
\(\Rightarrow-4x+9x=27-10\)
\(\Rightarrow5x=17\)
\(\Rightarrow x=\dfrac{17}{5}\)
c) \(7-4\left(x+1\right)=5\)
\(\Rightarrow4\left(x+1\right)=7-5\)
\(\Rightarrow4\left(x+1\right)=2\)
\(\Rightarrow x+1=\dfrac{1}{2}\)
\(\Rightarrow x=\dfrac{1}{2}-1\)
\(\Rightarrow x=-\dfrac{1}{2}\)
a, x-1/4=5/8 . 2/3
b, x/126= -5/4 .4/7
câu a x =2/3
câu b x=-90
a, x-1/4=5/8 . 2/3
\(x-\frac{1}{4}=\frac{5}{12}\)
x = \(\frac{5}{12}+\frac{1}{4}\)
x = \(\frac{2}{3}\)
b, x/126= -5/4 .4/7
\(\frac{x}{126}=\frac{-5}{7}\)
=> x .7 = (-5) . 126
=> x . 7 = -630
=> x = (-630) :7
=> x = -90
Học tốt
\(x-\frac{1}{4}=\frac{5}{8}.\frac{2}{3}\)
\(x-\frac{1}{4}=\frac{5}{12}\)
\(x=\frac{5}{12}+\frac{1}{4}\)
\(x=\frac{2}{3}\)
\(\frac{x}{126}=\frac{-5}{4}.\frac{4}{7}\)
\(\frac{x}{126}=\frac{-5}{7}\)
\(\Rightarrow7x=-630\)
\(x=-630:7\)
\(x=-90\)
Tính nhanh:
a) 4 x 126 x 25
b) ( 9 x 8 – 12 – 5 x 12 ) x ( 1 + 2 + 3 + 4 + 5)
Tính nhanh:
a) 153^2+99×153+47^2.
b) 126^2-152×126+5776.
c) 3^8×5^8-(15^4-1)×(15^4+1).
d) (2+1)×(2^2+1)×(2^4+1)...(2^32+1)+1
Ai giúp mình làm bài này với. Mình cảm ơn nhiều.
a) 153^2+99.153+47^2
= 153^2+2.47.153+47^2
= (153+47)^2
=200^2
=40000
b) 126^2-152.126+5776
= 126^2-2.76.126+76^2
= (126-76)^2
= 50^2
= 2500
c)3^8.5^8-(15^4-1).(15^4+1)
= 15^8-[(15^4)^2-1^2]
= 15^8-15^8+1
=1
d) (2+1).(2^2+1).(2^4+1)...(2^32+1)+1
= 1.(2+1).(2^2+1).(2^4+1)...(2^32+1)+1
= (2-1).(2+1).(2+1).(2^4+1)...(2^32+1)+1
= (2^2-1).(2^2+1).(2^4+1)...(2^32+1)+1
= (2^4-1).(2^4+1)...(2^32+1)+1
= (2^8-1)...(2^32+1)+1
= (2^32-1).(2^32+1)+1
= 2^64-1+1
= 2^64