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a, \(-4x+5+2x-1=3\Leftrightarrow-2x=-1\Leftrightarrow x=\dfrac{1}{2}\)
b, \(-2x+2=2\Leftrightarrow x=0\)
c, \(-2x-6=-8\Leftrightarrow x=1\)
a) \(\left(3x^2+5x-3\right)+\left(x-3x^2-3\right)=0\)
\(\Leftrightarrow6x-6=0\)
\(\Leftrightarrow6x=6\Leftrightarrow x=1\)
b) \(\left(3x^2-5x\right)-\left(3x^2+x-12\right)=0\)
\(\Leftrightarrow3x^2-5x-3x^2-x+12=0\)
\(\Leftrightarrow-6x=-12\Leftrightarrow x=2\)
a) \(2.\left|5x-3\right|-2x=14\)
\(2\left|5x-3\right|=14+2x\)
\(\left|5x-3\right|=\frac{14+2x}{2}\)
\(\Rightarrow\orbr{\begin{cases}5x-3=\frac{-14-2x}{2}\\5x-3=\frac{14+2x}{2}\end{cases}}\)\(\Rightarrow\orbr{\begin{cases}\left(5x-3\right).2=-14-2x\\\left(5x-3\right).2=14+2x\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}10x-6+2x=-14\\10x-6-2x=14\end{cases}\Rightarrow\orbr{\begin{cases}12x=-14+6\\8x=14+6\end{cases}}}\Rightarrow\orbr{\begin{cases}12x=-8\\8x=20\end{cases}}\)
\(\Rightarrow\orbr{\begin{cases}x=\frac{-2}{3}\\x=2,5\end{cases}}\)
vậy \(\orbr{\begin{cases}x=\frac{-2}{3}\\x=2,5\end{cases}}\)
Những câu sau tương tự nhé.
\(a,3x^2-3x\left(x-2\right)=36\\ \Leftrightarrow3x^2-3x^2+6x=36\\ \Leftrightarrow6x=36\\ \Leftrightarrow x=6\\ b,5x\left(4x^2-2x+1\right)-2x\left(10x^2-5x+2\right)=-36\\ \Leftrightarrow20x^3-10x^2+5x-20x^3+10x^2-4x+36=0\\ \Leftrightarrow\left(20x^3-20x^3\right)+\left(-10x^2+10x^2\right)+\left(5x-4x\right)=-36\\ \Leftrightarrow x=-36\)
1,3x+2/5x+7 =3x-1/5x+1
<=> 1,3x+2/5x-3x+1/5x = 1-7
<=> (1,3+2/5-3+1/5)x = -6
<=> -11/10x=-6
<=> x= -6 : (-11/10)
<=> x= 60/11
2.x+1/2x+1 = 0,5x+2/x +3
<=> 2x+1/2x-0,5x-2/1x = 3-1
<=> x(2+1/2-0,5-2 ) =2
<=>0x =2
<=> x=0
Hinh nhu minh thay ban Kunzy Nguyen giai hoi sai
1,3x o dau ra ???????????????
1) áp dụng tính chất của dãy tỉ số bằng nhau ta có:
\(\frac{3x+2}{5x+7}=\frac{3x-1}{5x+1}=\frac{\left(3x+2\right)-\left(3x-1\right)}{\left(5x+7\right)-\left(5x+1\right)}=\frac{3x+2-3x+1}{5x+7-5x-1}=\frac{3}{6}=\frac{1}{2}\)
suy ra :
\(\frac{3x-1}{5x+1}=\frac{1}{2}\Rightarrow\left(5x+1\right).1=\left(3x-1\right).2\)
=> 5x+1=6x-2
5x-6x=-2-1
-x=-3
x=3
2)áp dụng tính chất của dãy tỉ số bằng nhau ta có;
\(\frac{x+1}{2x+1}=\frac{0,5x+2}{x+3}=\frac{\left(x+1\right)-2.\left(0,5x+2\right)}{\left(2x+1\right)-2.\left(x+3\right)}=\frac{x+1-x-4}{2x+1-2x-6}=\frac{-3}{-5}=\frac{3}{5}\)
suy ra:
\(\frac{x+1}{2x+1}=\frac{3}{5}\Rightarrow\left(2x+1\right).3=\left(x+1\right).5\)
=>6x+3=5x+5
6x-5x=5-3
x=2
=>(2x+3).(10x+2)=(5x+2).(4x+5)
=>(2x.10x)+(2x.2)+(3.10x)+(3.2)=(5x.4x)+(5x.5)+(2.4x)+(2.5)
=>20x2+4x+30x+6=20x2+25x+8x+10
=>20x2-20x2+4x-8x+30x-25x=10-6
=>0+4x-8x+30x-25x=4
=>-4x+30x-25x=4
=>26x-25x=4
=>x=4
B)=>(3x-1).(5x-34)=(40-5x).(25-3x)
=>15x2-102x-5x+34=1000-120x-125x+15x2
=>15x2-107x+34=1000-245x+15x2
=>15x2-15x2-107x+245x=1000-34
=>0-107x+245x=966
=>138x=966
=>x=7
A,=>(2x+3).(10x+2)=(5x+2).(4x+5)
=>(2x.10x)+(2x.2)+(3.10x)+(3.2)=(5x.4x)+(5x.5)+(2.4x)+(2.5)
=>20x2+4x+30x+6=20x2+25x+8x+10
=>20x2-20x2+4x-8x+30x-25x=10-6
=>0+4x-8x+30x-25x=4
=>-4x+30x-25x=4
=>26x-25x=4
=>x=4
Noob ơi, bạn phải đưa vào máy tính ý solve cái là ra x luôn, chỉ tội là đợi hơi lâu
a, 4.(18 - 5x) - 12(3x - 7) = 15(2x - 16) - 6(x + 14)
=> 72 - 20x - 36x + 84 = 30x - 240 - 6x - 84
=> (72 + 84) + (-20x - 36x) = (30x - 6x) + (-240 - 84)
=> 156 - 56x = 24x - 324
=> 24x + 56x = 324 + 156
=> 80x = 480
=> x = 480 : 80 = 6
Vậy x = 6
\(\left|5x\right|-3x=2\)
\(\text{⇒}\left|5x\right|=3x+2\)
TH1:
\(5x=3x+2\) \(\left(x\ge0\right)\)
\(\text{⇒}5x-3x=2\)
\(\text{⇒}2x=2\)
\(\text{⇒}x=\dfrac{2}{2}\)
\(\text{⇒}x=1\left(tm\right)\)
TH2:
\(-5x=3x+2\) (x < 0)
\(\text{⇒}-5x-3x=2\)
\(\text{⇒}-8x=2\)
\(\text{⇒}x=-\dfrac{1}{4}\left(tm\right)\)
Xét \(x>0\)
\(5x-3x=2\)
\(\left(5-3\right)x=2\)
\(2x=2\)
\(x=1\)
Xét \(x< 0\)
\(\left(-5x\right)-3x=2\)
\(\left(-5-3\right)x=2\)
\(-8x=2\)
\(x=-\dfrac{2}{8}=-\dfrac{1}{4}\)
Vậy: \(\left[{}\begin{matrix}x=1\\x=-\dfrac{1}{4}\end{matrix}\right.\)