5+4 x 57 x 54+45=
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57 \(\times\) 46 + 57 \(\times\) 54
= 57 \(\times\) ( 46 + 54)
= 57 \(\times\) 100
= 5700
137 + 355 + 63 + 45
= ( 137 + 63) + ( 355 + 45)
= 200 + 400
= 600
215 \(\times\) 48 - 215 \(\times\) 38
= 215 \(\times\) ( 48 - 38)
= 215 \(\times\) 10
= 2150
4 \(\times\) 50 \(\times\) 25
= ( 4 \(\times\) 25) \(\times\) 50
= 100 \(\times\) 50
= 5 000
57×(46+54) =57×100=5700
137+355+63+45=(137+63) +(355+45) =200+400=600
215×48-215×38=215×(48-38) =215×10=2150
4×50×25=(4×25) ×50=100×50=5000
\(\dfrac{19.2.22.9.2.3}{19.3.22.9.5}=\dfrac{4}{5}\)
\(B=\left(4^5\cdot10\cdot5^6+25^5\cdot2^8\right):\left(2^8\cdot5^4+5^7\cdot2^5\right)\)
\(B=\dfrac{4^5\cdot10\cdot5^6+25^5\cdot2^8}{2^8\cdot5^4+5^7\cdot2^5}\)
\(B=\dfrac{\left(2^2\right)^5\cdot2\cdot5\cdot5^6+\left(5^2\right)^5\cdot2^8}{2^8\cdot5^4+5^7\cdot2^5}\)
\(B=\dfrac{2^{11}\cdot5^7+5^{10}\cdot2^8}{2^8\cdot5^4+5^7\cdot2^5}\)
\(B=\dfrac{2^8\cdot5^7\cdot\left(2^3\cdot1+5^3\cdot1\right)}{2^5\cdot5^4\cdot\left(2^3\cdot1+5^3\cdot1\right)}\)
\(B=\dfrac{2^8\cdot5^7}{2^5\cdot5^4}\)
\(B=\dfrac{2^3\cdot5^3}{1\cdot1}\)
\(B=\left(2\cdot5\right)^3\)
\(B=10^3\)
\(B=1000\)
\(4.5^{57}:\left(x-15\right)=5^{54}\)
\(4.\left(x-15\right)=5^{57}:5^{54}\)
\(4x-4.15=5^3\)
\(4x-60=125\)
\(4x=125+60\)
\(4x=185\)
\(x=185:4\)
\(x=46,25\)
- Tính giá trị ở mỗi vế.
- So sánh rồi điền dấu thích hợp vào chỗ trống.
a) 32 + 7 < 40 b) 32 + 14 = 14 + 32
45 + 4 < 54 + 5 69 - 9 < 96 - 6
55 - 5 > 40 + 5 57 - 1 < 57 + 1
\(\frac{x+43}{57}+\frac{x+46}{54}+\frac{x+49}{51}+\frac{x+235}{45}=0\)
\(\Leftrightarrow\text{}\text{}\)\(\frac{x+43}{57}+1+\frac{x+46}{54}+1+\frac{x+49}{51}+1+\frac{x+235}{45}-3=0\)
\(\Leftrightarrow\frac{x+100}{57}+\frac{x+100}{54}+\frac{x+100}{51}+\frac{x+100}{45}=0\)
\(\Leftrightarrow\left(x+100\right)\left(\frac{1}{57}+\frac{1}{54}+\frac{1}{51}+\frac{1}{45}\right)=0\)
\(\Leftrightarrow x+100=0\)
\(\Leftrightarrow x=-100\)
Vậy x = -100
Ta có: \(\dfrac{x-1}{59}+\dfrac{x-2}{58}+\dfrac{x-3}{57}=\dfrac{x-4}{56}+\dfrac{x-5}{55}+\dfrac{x-6}{54}\)
\(\Leftrightarrow\dfrac{x-60}{59}+\dfrac{x-60}{58}+\dfrac{x-60}{57}-\dfrac{x-60}{56}-\dfrac{x-60}{55}-\dfrac{x-60}{54}=0\)
\(\Leftrightarrow x-60=0\)
hay x=60
a) x = -11
b) x = 2
c) x = -5
d) x = 5
e) x = 3 hoặc x = 7
f) x = -1 hoặc x = 9
\(\dfrac{x-1}{59}+\dfrac{x-2}{58}+\dfrac{x-3}{57}=\dfrac{x-4}{56}+\dfrac{x-5}{55}+\dfrac{x-6}{54}\)
\(\Leftrightarrow\dfrac{x-1}{59}-1+\dfrac{x-2}{58}-1+\dfrac{x-3}{57}=\dfrac{x-4}{56}-1+\dfrac{x-5}{55}-1+\dfrac{x-6}{54}-1\)
\(\Leftrightarrow\dfrac{x-60}{59}+\dfrac{x-60}{58}+\dfrac{x-60}{57}=\dfrac{x-60}{56}+\dfrac{x-60}{55}+\dfrac{x-60}{54}\)
\(\Leftrightarrow\left(x-60\right)\left(\dfrac{1}{59}+\dfrac{1}{58}+\dfrac{1}{57}-\dfrac{1}{56}-\dfrac{1}{55}-\dfrac{1}{54}\right)=0\)
\(\Leftrightarrow x-60=0\)
\(\Rightarrow x=60\)
vậy \(S=\left\{60\right\}\)
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12362 nhé
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