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B1:
Ta có: \(\frac{4^6.9^5+6^9.120}{8^4.3^{12}-6^{11}}=\frac{2^{12}.3^{10}-2^9.3^9.2^3.3.5}{2^{12}.3^{12}-2^{11}.3^{11}}\)
\(=\frac{2^{12}.3^{10}-2^{12}.3^{10}.5}{2^{12}.3^{12}-2^{11}.3^{11}}=\frac{2^{12}.3^{10}.\left(1-5\right)}{2^{11}.3^{11}.\left(2.3-1\right)}\)
\(=\frac{2.\left(-4\right)}{3.5}=-\frac{8}{15}\)
B2:
Ta có: \(1+3+5+...+x=1600\)
\(\Leftrightarrow\frac{\left(x+1\right)\cdot\left(\frac{x-1}{2}+1\right)}{2}=1600\)
\(\Leftrightarrow\left(x+1\right)\cdot\frac{x+1}{2}=3200\)
\(\Leftrightarrow\left(x+1\right)^2=6400\)
Xét theo dãy tăng tiến ta thấy được giá trị của x càng tăng
=> x dương => x + 1 dương
\(\Rightarrow x+1=80\)
\(\Rightarrow x=79\)
1/7x-x=521:519+3.22-70
6x=52+3.4-1
6x=25+12-1
6x=25+11
6x=36
x=36:6
x=3
2/7x-2x=617:615+44:11
5x=62+4
5x=36+4
5x=40
x=40:5
x=8
3/6x+x=511:59+3
7x=52+3
7x=25+3
7x=28
x=28:7
x=4
a) 7x - x = 521: 519 + 3.22 - 70
6x = 52 + 3. 4 - 1
6x = 25 + 12 - 1
6x = 37 - 1
6x = 36
x = 36 : 6
x = 6
b) 7x - 2x = 617 : 615 + 44:11
5x = 62 + 4
5x = 36 +4
5x = 40
x = 40 :5
x = 8
c) 6x + x = 511 : 59 + 3
7x = 52 +3
7x = 25 +3
7x = 28
x = 28 : 7
x = 4
\(5x+2x=6^2-5^0\Leftrightarrow5x+2x=6^2-1\)
\(\Leftrightarrow5x-2x=36-1\Leftrightarrow5x-2x=35\Leftrightarrow x\left(5+2\right)=35\)
\(\Leftrightarrow7x=35\Leftrightarrow x=35:7\Leftrightarrow x=5\)
\(5x+x=150:2+3\Leftrightarrow5x+x=75+3\)
\(\Leftrightarrow5x+x=78\Leftrightarrow x\left(5+1\right)=78\Leftrightarrow x6=78\)
\(\Leftrightarrow x=78:6\Leftrightarrow x=13\)
a) 5x + 2x = 62 - 50
7x = 35 => x = 5
b) 5x + x = 150 : 2 + 3
6x = 78 => x = 13
c) 6x + x = 511 : 59 + 31
7x = 28 => x = 4
d) 5x + 3x = 36 : 33 x 4 + 12
8x = 120 => x = 15
e) 4x + 2x = 68 - 219 : 216
6x = 60 => x = 10
f) 5x + x = 39 - 311 : 39
6x = 30 => x = 5
g) 7x - x = 521 : 519 + 3 x 22 - 70
6x = 36 => x = 6
h) 7x - 2x = 617 : 615 + 44 : 11
5x = 40 => x = 8
a) 6x + x = 511 : 59 + 31
6x + x = 52 + 31
7x = 25 + 3
7x = 28
x = 28 : 7
x = 4
b) 7x - x = 521 : 59 + 3 . 22 - 70
6x = 512 + 3 . 4 - 1
6x = 244140625 + 12 - 1
6x = 244140636
x = 244140636 : 6
x = 40690106
a)6x +x = 511 :59 +31
(6+1)x=52 +3
7x =25 +3=28
x = 28 :7
x=4
Vậy x=4
b) 7x-x = 521 : 59 +3 . 22 - 7
(7-1)x = 512 +3.4-1
6x= 244140625 + 12 - 1
6x = 244140637-1=244140636
x=244140636:6
x=40690106
Vậy x= 40690106
\(\left(7x+6\right).5^5=5^8\)
\(\Rightarrow7x+6=5^8:5^5=5^3=125\)
\(\Rightarrow7x=125-6=119\)
\(\Rightarrow x=119:7=17\)
(7x + 6) . 55 = 58
=> 7x + 6 = 58 : 55
=> 7x + 6 = 53
=> 7x + 6 = 125
=> 7x = 125 - 6
=> 7x = 119
=> x = 119 : 7
=> x = 17
Vậy x = 17
\(\left(x-9\right)^5\left(5+x\right)^8=0\)
\(\Rightarrow\orbr{\begin{cases}x-9=0\\5+x=0\end{cases}\Rightarrow\orbr{\begin{cases}x=9\\x=-5\end{cases}}}\)
\(x+y=2xy\)
\(\Rightarrow x+y-2xy=0\)
\(\Rightarrow\left(\sqrt{x}-\sqrt{y}\right)^2=0\)
\(\Rightarrow x=y\)
Đề câu 3 có vấn đề nha bn
=520:(515*(6+19))
=520:(515*25)
=520:(515*52)
=520:517=53=125
k cho mình nha
\(5^{20}:\left(5^{15}.6+5^{15}.19\right)\)
=\(5^{20}:5^{15}.\left(6+19\right)\)
=\(5^{20}:5^{15}.25\)
=\(5^{20}:5^{15}.5^2\)
=\(5^{20}:5^{17}\)
=\(5^3\)=125.
Ta có :
\(\left(7x+6\right).5^5=5^8\)
\(\Leftrightarrow\)\(7x+6=\frac{5^8}{5^5}\)
\(\Leftrightarrow\)\(7x+6=5^3\)
\(\Leftrightarrow\)\(7x+6=125\)
\(\Leftrightarrow\)\(7x=125-6\)
\(\Leftrightarrow\)\(7x=119\)
\(\Leftrightarrow\)\(x=\frac{119}{7}\)
\(\Leftrightarrow\)\(x=17\)
Vậy \(x=17\)
Chúc bạn học tốt ~
\(\left(7x+6\right)\cdot5^5=5^8\)
\(7x+6=5^8:5^5\)
\(7x+6=5^3\)
\(7x+6=125\)
\(7x=125-6\)
\(7x=119\)
\(x=119:7\)
\(x=17\)
Vậy \(x=17\)