Tìm x biết
|x+2|=|3x-7|
Tìm x biết:
5. ( x-1 ) - 7.( x-2 ) = 2x -39
Tìm x thuộc Z biết:
x - 3 - 14.( x-2 )= -3x -3
\(3x+7⋮x-2\)
5 ( x - 1 ) - 7 ( x - 2 ) = 2x - 39
<=> 5x - 5 - 7x + 14 = 2x - 39
<=> 5x - 7x - 2x = -39 + 5 - 14
<=> -4x = -48
<=> x = 12
x - 3 - 14.( x-2 )= -3x -3\(\Rightarrow\chi-3-28-14\chi-28=-3\chi-3\)
\(\Rightarrow\chi-3-28+3=-3\chi-3\)
\(\Rightarrow\chi-28=11\chi\)
\(\Rightarrow\chi-11\chi=28\)
\(\Rightarrow10\chi=28\Rightarrow\chi=2,8\left(kot.m\chi\inℤ\right)\)
HTDT-sai-rùi
x-3-14(x-2)=-3x-3
x-3+28-14x=-3x-3
-13x+35=-3x-3
-13x+3x=-3-35
-10x=-38
x=38/10=19/5
tìm x thuộc Z biết :
a)|3x+5|-2(x+7)-4(7-x)=|3x+5|+2x
b)|x^2-4|+(x-2)^2=0
c)|x+7|+|x+5|+|x+3|=2x
d)|3x+5|=5-3x
tìm x , biết
2/7 x-1/3=3/5x-1
|3x+7|-3x=7
c) |2x-1|+|3x+2|=0
\(\dfrac{2}{7}\)\(x\) - \(\dfrac{1}{3}\) = \(\dfrac{3}{5}\)\(x\) - 1
\(\dfrac{2}{7}\)\(x\) - \(\dfrac{3}{5}\)\(x\) = - 1 + \(\dfrac{1}{3}\)
(\(\dfrac{2}{7}\) - \(\dfrac{3}{5}\))\(x\) = - \(\dfrac{2}{3}\)
- \(\dfrac{11}{35}\)\(x\) = - \(\dfrac{2}{3}\)
\(x\) = - \(\dfrac{2}{3}\) : (- \(\dfrac{11}{35}\))
\(x\) = \(\dfrac{70}{33}\)
Vậy \(x=\dfrac{70}{33}\)
|3\(x\) + 7| - 3\(x\) = 7
|3\(x\) + 7| = 7 +3\(x\) Vì 7 + 3\(x\) > 0 nên 3\(x\) > -7 ⇒ \(x\) > -\(\dfrac{7}{3}\)
Với \(x\) > - \(\dfrac{7}{3}\) ta có:
3\(x\) + 7 = 7 + 3\(x\)
7 =7 (luôn đúng)
Vậy \(x\) \(\ge\) - \(\dfrac{7}{3}\)
Bài 1 :tìm x , biết :
(x-7)x+1 - (x-7)x+11 =0
Bài 2 :tìm x , biết :
a,|2x-3| > 5 c,|3x-1| ≤ 7 d,|3x-5| + |2x+3| = 7
Bài 3 :
a,tính tổng S = 1 + 52 + 54 + ....... + 5200.
b,so sánh 230 + 330 + 430 và 3.2410
\(1,\\ \left(x-7\right)^{x+1}-\left(x-7\right)^{x+11}=0\\ \Leftrightarrow\left(x-7\right)^{x+1}\left[1-\left(x-7\right)^{10}\right]=0\\ \Leftrightarrow\left[{}\begin{matrix}\left(x-7\right)^{x+1}=0\\\left(x-7\right)^{10}=1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x-7=0\\x-7=1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=7\\x=8\end{matrix}\right.\)
\(2,\\ a,\left|2x-3\right|>5\Leftrightarrow\left[{}\begin{matrix}2x-3< -5\\2x-3>5\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x< -1\\x>4\end{matrix}\right.\\ b,\left|3x-1\right|\le7\Leftrightarrow\left[{}\begin{matrix}3x-1\le7\\1-3x\le7\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x\le\dfrac{8}{3}\\x\ge-2\end{matrix}\right.\\ c,\cdot x< -\dfrac{3}{2}\\ \Leftrightarrow5-3x+\left(-2x-3\right)=7\Leftrightarrow2-5x=7\Leftrightarrow x=-1\left(ktm\right)\\ \cdot-\dfrac{3}{2}\le x\le\dfrac{5}{3}\\ \Leftrightarrow\left(5-3x\right)+\left(2x+3\right)=7\Leftrightarrow8-x=7\Leftrightarrow x=1\left(tm\right)\\ \cdot x>\dfrac{5}{3}\\ \Leftrightarrow\left(3x-5\right)+\left(2x+3\right)=7\Leftrightarrow5x-2=7\Leftrightarrow x=\dfrac{9}{5}\left(tm\right)\\ \Leftrightarrow S=\left\{1;\dfrac{9}{5}\right\}\)
bài 1 :tìm x , biết :
(x-7)^ x+1(x-7)^x+11=0
bài 2 :tìm x , biết :
a,|2x-3| > 5 c,|3x-1| ≤ 7 d,|3x-5| + |2x+3| = 7
bài 3 :
a,tính tổng S = 1 + 5^2 + 5^4 + ....... + 5^200.
b,so sánh 2^30 + 3^30 + 4^30 và 3.24^10
Tìm x biết:
(x+3)(3x-7)-3x2=x+9
Tìm x biết:
1) x (x-2016) + 2015 (2016-x) = 0
2) -5x (x-15) + (15-x) = 0
3) 3x (3x-7) - (7-3x) =0
1) x (x-2016) + 2015 (2016-x) = 0
x (x-2016) - 2015 (x- 2016) = 0
(x-2015)(x-2016) =0
\(\Rightarrow\orbr{\begin{cases}x-2015=0\\x-2016=0\end{cases}\Rightarrow\orbr{\begin{cases}x=2015\\x=2016\end{cases}}}\)
Vậy x= 2015; 2016
2) -5x (x-15) + (15-x) = 0
-5x (x-15) - (x-15) =0
(-5x -1) (x-15) =0
\(\Rightarrow\orbr{\begin{cases}-5x-1=0\\x-15=0\end{cases}\Rightarrow\orbr{\begin{cases}-5x=1\\x=15\end{cases}\Rightarrow}\orbr{\begin{cases}x=-\frac{1}{5}\\x=15\end{cases}}}\)
Vậy x= -1/5; 15
3) 3x (3x-7) - (7-3x) =0
3x(3x-7) + (3x -7) =0
(3x+1) (3x-7) =0
\(\Rightarrow\orbr{\begin{cases}3x+1=0\\3x-7=0\end{cases}\Rightarrow\orbr{\begin{cases}3x=-1\\3x=7\end{cases}\Rightarrow}\orbr{\begin{cases}x=-\frac{1}{3}\\x=\frac{7}{3}\end{cases}}}\)
Vậy x= -1/3 ; 7/3
Tìm x biết
219-7 ( x+1 ) = 10²
( 3x - 2⁴ ) . 7³ = 2.7⁴
219 - 7(x + 1) = 10²
7(x + 1) = 219 - 10²
7(x + 1) = 219 - 100
7(x + 1) = 119
x + 1 = 119 : 7
x + 1 = 17
x = 17 - 1
x = 16
--------------------
(3x - 2⁴) . 7³ = 2.7⁴
(3x - 16).7³ = 2.7⁴
3x - 16 = 2.7⁴:7³
3x - 16 = 2.7
3x - 16 = 14
3x = 14 + 16
3x = 30
x = 30 : 3
x = 10
Tìm x biết
219-7 ( x+1 ) = 10²
( 3x - 2⁴ ) . 7³ = 2.7⁴
Lời giải:
$10+2x=4^5:4^3=4^2=16$
$2x=16-10=6$
$x=6:2=3$
---------
$2x-6^2:18=3.2^2$
$2x-2=12$
$2x=14$
$x=14:2=7$
--------------
$70-5(x-3)=3.2^5=96$
$5(x-3)=70-3.2^5=-26$
$x-3=\frac{-26}{5}$
$x=3+\frac{-26}{5}=\frac{-11}{5}$
------------------
$19-7(x+1)=10^2=100$
$7(x+1)=19-100=-81$
$x+1=\frac{-81}{7}$
$x=\frac{-81}{7}-1=\frac{-88}{7}$
------------
$(3x-2^4).7^3=2.7^4$
$3x-16=2.7^4:7^3=2.7=14$
$3x=14+16=30$
$x=30:3=10$
Tìm x biết
3x2 - (x + 2) * (3x - 1) = -7
tích mình đi
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mình tích lại
thanks
\(3x^2-\left(x+2\right)\left(3x-1\right)=-7\)
\(\Rightarrow3x^2-\left(3x^2+6x-x-2\right)=-7\)
\(\Rightarrow3x^2-3x^2-5x+2=-7\)
\(\Rightarrow-5x+2=-7\)
\(\Rightarrow-5x=-9\)
\(\Rightarrow x=\frac{9}{5}\)
Vậy \(x=\frac{9}{5}\)
\(3x^2-\left(x+2\right)\left(3x-1\right)=-7\) \(7\)
<=> \(3x^2-\left(3x^2-x+6x-2\right)=-7\)
<=> \(3x^2-3x^2+x-6x+2=-7\)
<=> \(-5x+2=-7\)
<=> \(-5x=-9\)
<=> \(x=\frac{9}{5}\)