tìm x biết (2x +7 )3 =27
Tìm số tự nhiên x, biết
a) ( 2 x - 1 ) 3 = 27
b) ( 2 x + 1 ) 3 = 125
c) ( x + 2 ) 3 = ( 2 x ) 3
d) ( 2 x - 1 ) 7 = x 7
Tìm x biết:
a,5/x-3=3/x+5
b,2x-1/3=7/27(2x+1)
Tìm x, biết
1)4x2-25-(2x-5)(2x+7)=0
2)x3+27+(x+3)(x-9)=0
1) \(4x^2-25-\left(2x-5\right)\left(2x+7\right)=0\)
\(\Leftrightarrow\left(2x-5\right)\left(2x+5\right)-\left(2x-5\right)\left(2x+7\right)=0\)
\(\Leftrightarrow\left(2x-5\right)\left(2x+5-2x-7\right)=0\)
\(\Leftrightarrow\left(2x-5\right).-2=0\)
\(\Leftrightarrow-4x+10=0\)
\(\Leftrightarrow-4x=-10\)
\(\Leftrightarrow x=\frac{5}{2}.\)
Vậy \(S=\left\{\frac{5}{2}\right\}\)
2)\(x^3+27+\left(x+3\right)\left(x-9\right)=0\)
\(\Leftrightarrow\left(x+3\right)\left(x^2-3x+9\right)+\left(x+3\right)\left(x-9\right)=0\)
\(\Leftrightarrow\left(x+3\right).\left(x^2-3x+9+x-9\right)=0\)
\(\Leftrightarrow\left(x+3\right)\left(x^2-2x\right)=0\)
\(\Leftrightarrow\left(x+3\right).x.\left(x-2\right)=0\)
\(\Leftrightarrow x+3=0\)hoặc \(x=0\)hoặc \(x-2=0\)
\(\Leftrightarrow x=-3\)hoặc \(x=0\)hoặc \(x=2\)
Vậy \(S=\left\{-3;0;2\right\}\)
tìm x biết;
a) 121-3.(x-5)=6
b)2x-138=2\(^3\) . 3\(^2\)
c) (x-3)⋮7 và 10<x<50
d) 27⋮(x+1)
Lời giải:
a. $121-3(x-5)=6$
$3(x-5)=121-6=115$
$x-5=115:3=\frac{115}{3}$
$x=\frac{115}{3}+5=\frac{130}{3}$
b.
$2x-138=2^3.3^2=72$
$2x=72+138=210$
$x=210:2=105$
c.
$x-3\vdots 7$
$\Rightarrow x-3\in\left\{0;7;14;21;28;35;42;49; 56;...\right\}$
Mà $10< x< 50$ nên $x\in\left\{14;21;28;35;42;49\right\}$
d.
$27\vdots x+1$
$\Rightarrow x+1\in\left\{\pm 1; \pm 3; \pm 9; \pm 27\right\}$
$\Rightarrow x\in\left\{0; -2; -4; 2; 8; -10; 26; -28\right\}$
a ) 121-3.(x - 5 ) = 6
3.(x-5) = 121 -6
3. (x-5)=115
x-5 = 115:3
x-5=35
x=35+5
x = 40
b) 2x - 138 = 2'3. 3'2
2x -138=8.9
2x-138=72
2x=72+138
2x=210
x=210:2
x=105
c) theo bài ra : x-3 ∈ B(7)
ta có B(7)=(0,7,14,21,28,35,49,56,...)
=) x-3 ∈ ( 0,7,14,21,28,35,49,56,...)
=) x ∈( 3 , 10,17,24,31,38,42,58,..)
mà 10 <x<50 nên x ∈ ( 17 , 24 ,31,38,42 )
vậy x ∈(17,24,31,38,42)
Tìm x biết :
a, (x-2).(x2 +2x +7) +2.( x2-4) -5 .(x-2) =0
b, 4x2 -25 -(2x-5) .(2x+7) =0
c, x3 +27 + (x+3) .(x-9)=0
Tìm x biết :
a, (2+x):5 = 6
b, 2 x + 1 3 = 27
c, 5.(7+48:x) = 45
d, 5 2 x - 3 - 2 . 5 2 = 5 2 . 3
Tìm x biết 2(x+3)-x^2-3x=0
x^3+27+(x+3)(x-9)=0
4x^2-25-(2x-5)(2x+7)=0
8x^3-50x=0
(2x-1)^2-25=0
Tìm x biết : a) x+3/22=-27/121.11/9 b) (3và2/20-2và1/20)x+2/7=3/5 c) |3/2x-5|-1/2=-1/4
a) x+3/22=-27/121.11/9
⇒ x+3/22=-3/11
⇒ x=-9/22
b) (3/2/20-2/1/20)x+2/7=3/5
⇒ (31/10-41/20)x=11/35
⇒ 21/20x=11/35
⇒x=44/147
c) |3/2x-5|-1/2=-1/4
⇒ |3/2x-5|=1/4
⇒ hoặc 3/2x-5=1/4⇒3/2x=21/4⇒x=7/2
hoặc 3/2x-5=-1/4⇒3/2x=19/4⇒x=19/6
Bài 4: Tìm số nguyên x biết:
a) 3x + 27 = 9 b) 2x + 12 = 3(x – 7)
c) 2x2 – 1 = 49 d) |-9 – x| -5 = 12
b) 2x + 12 = 3(x – 7)
d) |-9 – x| -5 = 12