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Do \(x\ge6\) nên:
\(A=\left\{6\right\}\)
________________
\(6x-3< 5x+1\\ \Leftrightarrow6x-5x< 1+3\\ \Leftrightarrow x< 4\)
Vậy \(B=\left\{0;1;2;3\right\}\)
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\(-2x^2+5x-3=0\)
\(\Leftrightarrow2x^2-5x+3=0\\ \Leftrightarrow2x^2-2x-3x+3=0\\ \Leftrightarrow2x\left(x-1\right)-3\left(x-1\right)=0\\ \Leftrightarrow\left(x-1\right)\left(2x-3\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x-1=0\\2x-3=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=1\\x=\frac{3}{2}\end{matrix}\right.\)
Vì \(x\in N\) nên \(C=\left\{1\right\}\)
a, x - 3 : 2 = 5 14 : 5 12
=> x - 3 : 2 = 5 2
=> x - 3 : 2 = 25
=> x – 3 = 25
=> x = 53
b, 30 : x - 7 = 15 19 : 15 18
=> 30 : x - 7 = 15
=> x – 7 = 2
=> x = 9
c, x 70 = x
=> x 70 - x = 0
=> x ( x 69 - 1 ) = 0
=>
d, 2 x + 1 3 = 9 . 81
=> 2 x + 1 3 = 9 3
=> 2x + 1 = 9
=> x = 4
e, 5 x + 5 x + 2 = 650
=> 5 x 1 + 5 2 = 650
=> 5 x . 26 = 650
=> 5 x = 25
=> x = 2
f, 4 x - 1 2 = 25 . 9
=> 4 x - 1 2 = 5 2 . 3 2
=> 4 x - 1 2 = 15 2
=> 4x – 1 = 15
=> x = 4
`1,`
`538 - x = 275`
`\Rightarrow x = 538 - 275`
`\Rightarrow x = 263`
Vậy, `x = 263`
`2,`
`45 - 9x = 18`
`\Rightarrow 9x = 45 - 18`
`\Rightarrow 9x = 27`
`\Rightarrow x = 27 \div 9`
`\Rightarrow x = 3`
Vậy, `x = 3`
`3,`
`(5x - 9) \div 3 = 12`
`\Rightarrow 5x - 9 = 12. 3`
`\Rightarrow 5x - 9 = 36`
`\Rightarrow 5x = 36 + 9`
`\Rightarrow 5x = 45`
`\Rightarrow x = 45 \div 5`
`\Rightarrow x = 9`
Vậy, `x = 9.`
1) \(538-x=275\)
\(x=538-275\)
\(x=263\)
2) \(45-9x=18\)
\(9x=27\)
\(x=3\)
3) \(\left(5x-9\right)\div3=12\)
\(\left(5x-9\right)=12\times3\)
\(5x-9=36\)
\(5x=45\)
\(x=9\)
ta có : 5x-3=5x+10-13=5.(x+2)-13
vì x+2:x+2 suy ra 5.(x+2):x+2 ; suy ra 13:x+2
suy ra x+2 thuộc ước 13
suy ra x+2 ={13,1}
suy ra x ={11.-1}
vì xEN suy ra =11
\(5x-3⋮x+2\)
ta có \(x+2⋮x+2\)
\(\Rightarrow5\left(x+2\right)⋮x+2\)
\(\Rightarrow5x+10\) \(⋮x+2\)
mà \(5x-3⋮x+2\)
\(\Rightarrow5x+10-\left(5x-3\right)⋮x+2\)
\(\Rightarrow\) \(5x+10-5x+3⋮x+2\)
\(\Rightarrow\) \(13⋮x+2\)
\(\Rightarrow x+2\in\text{Ư}_{\left(13\right)}=\text{ }\left\{1;13\right\}\)
+) nếu \(x+2=1\Rightarrow\) không tìm được \(x\in N\)
+) nếu \(x+2=13\Rightarrow x=11\) ( thỏa mãn )
vậy \(x=11\)
Ta có: \(x+3⋮x-5\)
\(\Rightarrow x-5+8⋮x-5\)
\(\Rightarrow8⋮x-5\)(vì \(x-5⋮x-5\))
\(\Rightarrow x-5\inƯ\left(8\right)\)
\(\Rightarrow x-5\in\left\{1;2;4;8\right\}\)
\(\Rightarrow x\in\left\{6;7;9;13\right\}\)
_Học tốt nha_