Tìm số nguyên x, biết:
\(\frac{-28}{4}\)_< x < \(\frac{-27}{9}\)
Biết x thuộc Z
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Dễ thui : Ta có: x/y = 28/35
28 : 7 / 35 : 7 = 4/5=8/10=12/15=16/20
Lớp 4?
a) \(\dfrac{x+1}{4}=\dfrac{36}{x+1}\)
\(\Rightarrow\left(x+1\right)^2=144\)
\(\Rightarrow\left[{}\begin{matrix}x+1=12\\x+1=-12\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=11\\x=-13\end{matrix}\right.\)
Vậy: \(x\in\left\{11;-13\right\}\)
b) \(\dfrac{x}{7}=\dfrac{55x-4}{28}\)
\(\Rightarrow4x=55x-4\)
\(\Rightarrow-51x=-4\)
\(\Rightarrow x=\dfrac{4}{51}\)
Vậy: \(x=\dfrac{4}{51}\)
a) \(\dfrac{x + 1}{4} = \dfrac{36}{x + 1} \)
\(\Rightarrow\) \(( x + 1 )( x + 1 ) = 36 . 4 \)
\(\Rightarrow ( x + 1 )^2 = 144 \)
\(\Rightarrow ( x + 1 )^2 = 12^2 = ( -12 )^2 \)
\(\Rightarrow\) \(x + 1 ∈ \) { \(12 ; -12 \) }
\(\Rightarrow \) \(x \) \(∈ \) { \(11 ; -13 \) }
Vậy \(x ∈ \) { \(11 ; -13 \) }
a ) 28 + x = − 59 x = − 59 − 28 x = − 87
b ) x − 4 x 2 − 25 = 0 ⇔ x − 4 = 0 x 2 − 25 = 0 ⇔ x = 4 x 2 = 25 ⇔ x = 4 x = ± 5
x + 2 = 17 ⇒ x + 2 = 17 x + 2 = − 17 ⇒ x = 15 x = − 19
d ) − 19 + 4 ( 2 − x ) = 25 − x − 19 + 8 − 4 x = 25 − x 4 x − x = − 19 + 8 − 25 3 x = − 36 = > x = − 12
a) Ta có: \(4\left(x-2\right)-2\left(x+3\right)=-28\)
\(\Leftrightarrow4x-8-2x-6+28=0\)
\(\Leftrightarrow2x+14=0\)
\(\Leftrightarrow2x=-14\)
hay x=-7
Vậy: x=-7
b) Ta có: \(3x+7-9x=-11\)
\(\Leftrightarrow-6x+7+11=0\)
\(\Leftrightarrow-6x+18=0\)
\(\Leftrightarrow-6x=-18\)
hay x=3
Vậy: x=3
a: =>4/x=y/21=4/7
=>x=7; y=21*4/7=12
b: x/7=9/y
=>xy=63
mà x>y
nên \(\left(x,y\right)\in\left\{\left(63;1\right);\left(21;3\right);\left(9;7\right);\left(-7;-9\right);\left(-3;-21\right);\left(-1;-63\right)\right\}\)
c: x/15=3/y
=>xy=45
mà x<y<0
nên \(\left(x,y\right)\in\left\{\left(-45;-1\right);\left(-15;-3\right);\left(-9;-5\right)\right\}\)
d: x/y=21/28=3/4
=>x/3=y/4=k
=>x=3k; y=4k(k\(\in Z\))
\(\frac{-28}{4}< x< \frac{-27}{9}\)
\(\Leftrightarrow\left(-7\right)< x< \left(-3\right)\)
\(\Rightarrow\)x \(\in\){ -6 ; -5 ; -4 }