tim x
(2x+3)/6=(7x-3)/15
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\(2x+\frac{3}{6}=7x-\frac{3}{15}\)
\(2x+\frac{1}{2}=7x-\frac{1}{5}\)
\(2x-7x=-\frac{1}{5}-\frac{1}{2}\)
\(-5x=-\frac{7}{10}\)
\(x=\frac{7}{50}\)
1) (3x + 9)(3x - 6) = 0
=> \(\orbr{\begin{cases}3x+9=0\\3x-6=0\end{cases}}\)
=> \(\orbr{\begin{cases}3x=-9\\3x=6\end{cases}}\)
=> \(\orbr{\begin{cases}x=-3\\x=2\end{cases}}\)
Vậy ...
b) (2x + 15) - 25 = 47 - (10 - x)
=> 2x - 10 = 37 + x
=> 2x - x = 37 + 10
=> x = 47
3, tương tự
4) |4 - 3x| = 8
=> \(\orbr{\begin{cases}4-3x=8\\4-3x=-8\end{cases}}\)
=> \(\orbr{\begin{cases}3x=-4\\3x=12\end{cases}}\)
=> \(\orbr{\begin{cases}x=-\frac{4}{3}\\x=4\end{cases}}\)
Vì x là số nguyên nên ...
còn lại tương tự
a) 2x + 23x = 625
x (2 + 23) = 625
x. 25 = 625
x = 625 : 25
x = 25
b) (2^2+4^2) x +2^4 x 5 * x = 100 (dấu* là dấu nhân vì mik không muốn trùng nhau nên viết vậy)
( 4 + 16 ) x + 2^4 x 5 * x = 100
20 * x + 16 x 5 * x =100
x ( 20 + 16 x 5 ) = 100
x ( 20 + 80 ) = 100
x * 100 =100
x=100 : 100
x= 1
c) ( 3x +1)^2 = 6^2+8^2
(3x +1)^2 = 36 +64
(3x +1)^2 =100
(3x +1)^2 = 10^2
3x + 1 =10
3x=10 - 1=9
x = 9 :3
x = 3
( d và e làm tương tự )
k mik nha!
⇔(2 x ) 2+2.2 x .1+1 2=0 ... c ,(3 x −4) 2−14(3 x −4)(6+3 x )+49(3 x +6)=16 ... ⇔9 x 2−24 x +16−126 x 2−252 x +168 x +336+147 x +294=16.
https://olm.vn/hoi-dap/detail/192758180810.html
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/ ĐKXĐ : \(x\ne1\)
\(\dfrac{7x-3}{x-1}=\dfrac{2}{3}\)
\(\Leftrightarrow21x-9=2x-2\)
\(\Leftrightarrow19x=7\Leftrightarrow x=\dfrac{7}{19}\left(tm\right)\)
Vậy...
b/ \(\dfrac{2\left(3-7x\right)}{1+x}=\dfrac{1}{2}\) ĐKXĐ : \(x\ne-1\)
\(\Leftrightarrow12-28x=1+x\)
\(\Leftrightarrow11=29x\Leftrightarrow x=\dfrac{11}{29}\) \(\left(tm\right)\)
Vậy....
c/ ĐKXĐ : \(x\ne0\)
\(\dfrac{x^2-6}{x}=x+\dfrac{3}{2}\)
\(\Leftrightarrow\dfrac{x^2-6}{x}=\dfrac{2x+3}{2}\)
\(\Leftrightarrow2x^2-12=2x^2+3x\)
\(\Leftrightarrow3x=-12\Leftrightarrow x=-4\) \(\left(tm\right)\)
Vậy...
4/ ĐKXĐ : \(x\ne-\dfrac{2}{3}\)
\(\dfrac{5}{3x+2}=2x-1\)
\(\Leftrightarrow\left(2x-1\right)\left(3x+2\right)=5\)
\(\Leftrightarrow6x^2+4x-3x-2=5\)
\(\Leftrightarrow6x^2+x-7=0\Leftrightarrow\left[{}\begin{matrix}x=-\dfrac{7}{6}\\x=1\end{matrix}\right.\)
Vậy....
5,6 Tương tự nhé !
1)ĐKXĐ: \(x\ne1\)
Ta có: \(\dfrac{7x-3}{x-1}=\dfrac{2}{3}\)
\(\Leftrightarrow3\left(7x-3\right)=2\left(x-1\right)\)
\(\Leftrightarrow21x-9=2x-2\)
\(\Leftrightarrow21x-9-2x+2=0\)
\(\Leftrightarrow19x-7=0\)
\(\Leftrightarrow19x=7\)
\(\Leftrightarrow x=\dfrac{7}{19}\)(nhận)
Vậy: \(S=\left\{\dfrac{7}{19}\right\}\)
2) ĐKXĐ: \(x\ne-1\)
Ta có: \(\dfrac{2\left(3-7x\right)}{1+x}=\dfrac{1}{2}\)
\(\Leftrightarrow4\left(3-7x\right)=x+1\)
\(\Leftrightarrow12-28x-x-1=0\)
\(\Leftrightarrow-29x+11=0\)
\(\Leftrightarrow-29x=-11\)
\(\Leftrightarrow x=\dfrac{11}{29}\)
Vậy: \(S=\left\{\dfrac{11}{29}\right\}\)
3) ĐKXĐ: \(x\ne0\)
Ta có: \(\dfrac{x^2-6}{x}=x+\dfrac{3}{2}\)
\(\Leftrightarrow\dfrac{x^2-6}{x}=\dfrac{2x+3}{2}\)
\(\Leftrightarrow2\left(x^2-6\right)=x\left(2x+3\right)\)
\(\Leftrightarrow2x^2-12=2x^2+6x\)
\(\Leftrightarrow2x^2-12-2x^2-6x=0\)
\(\Leftrightarrow-6x-12=0\)
\(\Leftrightarrow-6x=12\)
\(\Leftrightarrow x=-2\)
Vậy: S={-2}
\(\frac{2x+3}{6}=\frac{7x-3}{15}\)
\(15\left(2x+3\right)=6\left(7x-3\right)\)
\(30x+45=42x-18\)
\(30x-42x=-18-45\)
\(-12x=-63\)
\(x=\frac{21}{4}\)
\(\frac{2x+3}{6}=\frac{7x-3}{15}\)
\(\Rightarrow\frac{5.\left(2x+3\right)}{30}=\frac{2.\left(7x-3\right)}{30}\)
\(\Rightarrow5.\left(2x+3\right)=2.\left(7x-3\right)\)
\(\Rightarrow10x+15=14x-6\)
\(\Rightarrow10x-14x=-6-15\)
\(\Rightarrow-4x=-21\)
\(\Rightarrow x=-21:\left(-4\right)\)
\(\Rightarrow x=\frac{21}{4}\)