-15+19 x=9+7x
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Ta có $\sqrt{x^2-7x+19}-\sqrt{x^2-7x+15}=2$
$=>2M=(\sqrt{x^2-7x+19}-\sqrt{x^2-7x+15})(\sqrt{x^2-7x+19}+\sqrt{x^2-7x+15})$
$=>2M=\sqrt{x^2-7x+19}^2-\sqrt{x^2-7x+15}^2$
$=>2M=(x^2-7x+19)-(x^2-7x+15)=4$
$=>M=2$
\(2.M=\left(x^2-7x+19\right)-\left(x^2-7x+15\right)=4\Rightarrow M=2\)
Đặt \(\sqrt{x^2-7x+19}-\sqrt{x^2-7x+15}=B\) = B
Xét tích \(AB=\left(\sqrt{x^2-7x+19}-\sqrt{x^2-7x+15}\right)\left(\sqrt{x^2-7x+19}+\sqrt{x^2-7x+15}\right)\)
\(=x^2-7x+19-\left(x^2-7x+15\right)=x^2-7x+19-x^2+7x-15\)
\(=4\)
Mà \(B=2\Leftrightarrow A=2\)
Bài 1:
520 : [ 515 . 6 + 515 . 19 ]
= 520 : [ 515 . ( 6 + 19 ) ]
= 520 : [ 515 . 25 ]
= 520 : [ 515 . 52 ]
= 520 : 517
= 53
Bài 2
a) 5x + x = 39 - 311 : 39
=> 6x = 39 - 32
=> 6x = 39 - 9
=> 6x = 30
=> x = 5
b) 7x - x = 521 : 519 + 3 . 22 - 70
=> 6x = 52 + 3 . 4 - 1
=> 6x = 25 + 12 - 1
=> 6x = 36
=> x = 6
c) 7x - 2x = 617 : 615 + 44 : 11
=> ( 7 - 2 )x = 62 + 4
=> 5x = 36 + 4
=> 5x = 40
=> x = 8
1. \(5^{20}:\left(5^{15}.6+5^{15}.19\right)=5^{20}:\left\{5^{15}\left(6+19\right)\right\}\)
\(=5^{20}:\left\{5^{15}.25\right\}=5^{20}:\left\{5^{15}.5^2\right\}\)
\(=5^{20}:5^{17}=5^3=125\)
1) \(2^{x+1}\cdot2^{2014}=2^{2015}\)\(\Leftrightarrow2^{2014x+2014}=2^{2015}\)\(\Leftrightarrow2014x+2014=2015\)\(\Leftrightarrow x=\frac{1}{2014}\)
2) \(7x-2x=\frac{6^{17}}{6^{15}}+\frac{44}{11}\)\(\Leftrightarrow5x=6^2+4=36+4=40\)\(\Leftrightarrow x=\frac{40}{5}=8\)
3) \(3^x=9\)\(\Leftrightarrow3^x=3^2\)\(\Leftrightarrow x=2\)
4) \(7x-x=\frac{5^{21}}{5^{19}}+3\cdot2^2-7^0\)\(\Leftrightarrow6x=5^2+3\cdot4-1=25+12-1=36\)\(\Leftrightarrow x=6\)
5) \(4^x=64\)\(\Leftrightarrow4^x=4^3\)\(\Leftrightarrow x=3\)
6) \(9^{x-1}=9\)\(\Leftrightarrow x-1=1\)\(\Leftrightarrow x=0\)
7) \(\frac{2^x}{2^5}=1\)\(\Leftrightarrow2^{x-5}=2^0\)\(\Leftrightarrow x-5=0\)\(\Leftrightarrow x=5\)
8) \(\left(5x-9\right)^3=216\)\(\Leftrightarrow\left(5x-9\right)^3=6^3\)\(\Leftrightarrow5x-9=6\)\(\Leftrightarrow5x=15\)\(\Leftrightarrow x=3\)
9) \(5\cdot3^{7x-11}=135\)\(\Leftrightarrow5.3^{7x-11}=5.3^3\)\(\Leftrightarrow3^{7x-11}=3^3\)\(\Leftrightarrow7x-11=3\)\(\Leftrightarrow7x=14\Leftrightarrow x=2\)
10) \(2.3^x=19\cdot3^8-81^2\)\(\Leftrightarrow2.3^x=19\cdot3^8-3^8=18.3^8=2.3^{11}\)\(\Leftrightarrow3^x=3^{11}\Leftrightarrow x=11\)
Đây là cách làm của mình. Bạn có thể chỉnh sửa tuỳ ý theo cách làm của bạn nhé ^^
Học tốt ^3^
a) \(5x+x=39-3^{11}:3^9\)
\(6x=39-3^2\)
\(x=30:6\)
\(x=5\)
vậy \(x=5\)
b) \(7x-x=5^{21}:5^{19}+3.2^2-7^0\)
\(6x=5^2+12-1\)
\(6x=36\)
\(x=6\)
vậy \(x=6\)
câu c tương tự nha
7x-x=521:519+3.22-70
=> 6x = 5^2 + 12 -1
=> 6x = 36
=> x = 36/6 = 6
Kết quả 6
Học tốt
-15 + 19x = 9 + 7x
=> 19x - 7x = 9 + 15
=> 12x = 24
=> x = \(\dfrac{24}{12}\)= 2
\(\text{-15+19 x=9+7x}\)
\(\Leftrightarrow\)\(19x-15=7x+9\)
\(\Leftrightarrow\)\(12x-15=9\)
\(\Leftrightarrow\)\(12x=24\)
\(\Leftrightarrow\)\(x=\dfrac{24}{12}\)
\(\Leftrightarrow x=2\)