cho mk hỏi gấp : đúng 100% + làm bài giải mk tick . Thank you ^-^
tìm x
Câu 1 : x + 3 ( x + 8 ) =40
Câu 2 : 24 + 2 ( x + 2 ) = 80
Câu 3 5x - 2x = 60
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Tìm x, biết:
1) 2x ( x - 5) - x ( 2x - 4 ) = 15
<=> 2x2 - 10x - 2x2 + 4x - 15 = 0
<=> -6x - 15 = 0
<=> -6x = 15
<=> x = -15/6
2) ( x +1)( x + 2 ) - ( x + 4 ) ( x + 3 ) = 6
<=> x2 + 2x + x + 2 - x2 - 3x - 4x - 12 - 6 = 0
<=> -4x = -16
<=> x = 4
3) 4x2 - 4x + 5 - x ( 4x - 3) = 1 - 2x
<=> 4x2 - 4x + 5 - 4x2 + 3x - 1 + 2x = 0
<=> x + 4 = 0
<=> x = -4
4) ( x + 3 ) ( 2x + 1 ) - 2x2 = 4x - 5
<=> 2x2 + x + 6x + 3 - 2x2 - 4x + 5 = 0
<=> 3x + 8 = 0
<=> 3x = -8
<=> x = -8/3
5) -4 ( 2x - 8 ) + ( 2x - 1 )( 4x + 3 ) = 0
<=> - 8x + 32 + 8x2 + 6x - 4x - 3 = 0
.......
6) -3 . (x-2) + 4 . (2x-6) - 7 . (x-9)= 5 . (3-2)
<=> -3x + 6 + 8x - 24 - 7x + 63 - 5 = 0
<=> -2x + 40 = 0
<=> -2x = -40
<=> x = 20
Còn lại tương tự ....
Bài 1:
Ta có:
\(y-x=25\Rightarrow y=25+x\)
Mà \(7x=4y\Rightarrow7x=4\cdot\left(25+x\right)\)
\(7x=100+4x\)
\(\Rightarrow7x-4x=100\)
\(3x=100\)
\(x=\frac{100}{3}\)
bài 1 :
Ta có: 7x=4y ⇔ x/4=y/7
áp dụng tính chất dãy tỉ số bằng nhau ta có
x/4=y/7=(y-x)/(7-4)=100/3
⇒x= 4 x 100/3=400/3 ; y = 7 x 100/3=700/3
bài 2
ta có x/5 = y/6 ⇔ x/20=y/24
y/8 = z/7 ⇔ y/24=z/21
⇒x/20=y/24=z/21
ADTCDTSBN(bài 1 có)
x/20=y/24=z/21=(x+y)/(20+24)=69/48=23/16
⇒x= 20 x 23/16 = 115/4
y= 24x 23/16=138/2
z=21x23/16=483/16
a) 5x.(x+3/4) = 0
=> x = 0
x+3/4 = 0 => x = -3/4
b) \(\frac{x+7}{2010}+\frac{x+6}{2011}=\frac{x+5}{2012}+\frac{x+4}{2013}.\)
\(\Rightarrow\frac{x+7}{2010}+\frac{x+6}{2011}-\frac{x+5}{2012}-\frac{x+4}{2013}=0\)
\(\frac{x+7}{2010}+1+\frac{x+6}{2011}+1-\frac{x+5}{2012}-1-\frac{x+4}{2013}-1=0\)
\(\left(\frac{x+7}{2010}+1\right)+\left(\frac{x+6}{2011}+1\right)-\left(\frac{x+5}{2012}+1\right)-\left(\frac{x+4}{2013}+1\right)=0\)
\(\frac{x+2017}{2010}+\frac{x+2017}{2011}-\frac{x+2017}{2012}-\frac{x+2017}{2013}=0\)
\(\left(x+2017\right).\left(\frac{1}{2010}+\frac{1}{2011}-\frac{1}{2012}-\frac{1}{2013}\right)=0\)
=> x + 2017 = 0
x = -2017
a) để 2x - 3 > 0
=> 2x > 3
x > 3/2
b) 13-5x < 0
=> 5x < 13
x < 13/5
c) \(\frac{x+3}{2x-1}>0\)
=> x + 3 > 0
x > -3
d) \(\frac{x+7}{x+3}=\frac{x+3+4}{x+3}=1+\frac{4}{x+3}\)
Để x+7/x+3 < 1
=> 1 + 4/x+3 < 1
=> 4/x+3 < 0
=> không tìm được x thỏa mãn điều kiện
(x+1)+( x+2)+(x+3)+.....+(x+2017) = 0
=> x+1+x+2+x+3+x+4+...+x+2017 = 0
=> (x+x+x+x+x+..+x )+ (1+2+3+4+...+2017 ) =0
=> 2017x + 2035153 = 0
=> 2017x = -2035153
=> x = -2035153 : 2017
=> x = -1009
Vậy x = -1009
Đúng thì k mk nha !!!!
a/ \(\left|x-3\right|=x+1\)
\(\Leftrightarrow\left[{}\begin{matrix}x-3=x+1\\x-3=-x-1\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x-x=1+3\\x+x=-1+3\end{matrix}\right.\)
\(\Leftrightarrow\left[{}\begin{matrix}0x=4\left(loại\right)\\2x=2\end{matrix}\right.\) \(\Leftrightarrow x=1\)
Vậy ...
b/ \(\left|x-2\right|=2x+3\)
\(\Leftrightarrow\left[{}\begin{matrix}x-2=2x+3\\x-2=-2x-3\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}2x-x=-2-3\\x+2x=-3+2\end{matrix}\right.\) \(\Leftrightarrow\left[{}\begin{matrix}x=-5\\x=-\dfrac{1}{3}\end{matrix}\right.\)
Vậy ,..
a, \(2x\left(x-3\right)-15+5x=0\\ \Rightarrow2x\left(x-3\right)-\left(15-5x\right)=0\\ \Rightarrow2x\left(x-3\right)-5\left(3-x\right)=0\\ \Rightarrow\left(2x+5\right)\left(x-3\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=-\dfrac{5}{2}\\x=3\end{matrix}\right.\)
b, \(x^3-7x=0\\ \Rightarrow x\left(x^2-7\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=0\\x=\pm7\end{matrix}\right.\)
c, \(\left(2x-3\right)^2-\left(x+5\right)^2=0\\ \Rightarrow\left(2x-3-x-5\right)\left(2x-3+x+5\right)=0\\ \Rightarrow\left(x-8\right)\left(3x+2\right)=0\\ \Rightarrow\left[{}\begin{matrix}x=8\\x=-\dfrac{2}{3}\end{matrix}\right.\)
Xem lại đề câu d
Câu 1: \(x+3\left(x+8\right)=40\)
\(\Rightarrow x+3x+3.8=40\)
\(x\left(1+3\right)+24=40\)
\(4x=40-24\)
\(4x=16\Rightarrow x=\frac{16}{4}=4\)
Câu 2: \(24+2\left(x+2\right)=80\)
\(\Rightarrow2x+2.2=80-24\)
\(2x=80-24-2.2\)
\(2x=80-24-2.2=52\)
\(\Rightarrow x=\frac{52}{2}=26\)
Câu 3: \(5x-2x=60\)
\(\Rightarrow x\left(5-2\right)=60\)
\(3x=60\Rightarrow x=\frac{60}{3}=20\)
Có chỗ nào ko hiểu nhắn mk nhé
x+3(x+8)=40
x+3x+24=40
4x+24=40
4x=16
x=4
24+2(x+2)=80
24+2x+4=80
28+2x=80
2x=52
x=26