(3x+1)2 - (2x-5)2=0
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2 ( x - 3 ) - 3 ( 2 - 3x ) = 4 [ ( 1 - 2x ) + 15 ]
2x - 6 - 6 + 9x = 4 [ 1 - 2 x + 15 ]
2x - 6 -6 + 9x = 4 - 8x + 60
2x + 9x + 8x = 4 + 60 + 6 + 6
19x = 76
=> x = 76 : 19
=> x = 4
Vậy x = 4
\(2\left(x-3\right)-3\left(2-3x\right)=4\left[\left(1-2x\right)+15\right]\)
\(\Rightarrow2x-6-6+9x=4\left[1-2x+15\right]\)
\(\Rightarrow2x-6-6+9x=4-8x+60\)
\(\Rightarrow2x+9x+8x=4+60+6+6\)
\(\Rightarrow19x=76\)
\(\Rightarrow x=76:19=4\)
Vậy x = 4
`a)f(x)-g(x)`
`=x^3-2x^2+3x+1-(x^3+x-1)`
`=x^3-2x^2+3x+1-x^3-x+1`
`=(x^3-x^3)+(3x-x)-2x^2+2`
`=-2x^2+2x+2=0`
`b)f(x)-g(x)+h(x)=0`
`<=>-2x^2+2x+2+2x^2-1=0`
`<=>2x+1=0`
`<=>2x=-1`
`<=>x=-1/2`
Vậy `x=-1/2` thì `f(x)-g(x)+h(x)=0`
Ko cần đâu bn à mk mong bn đấy
a)\(\left(3x-1\right)\left(5-\frac{1}{2}x\right)=0\)
\(\Rightarrow\orbr{\begin{cases}3x-1=0\\5-\frac{1}{2}x=0\end{cases}\Rightarrow}\orbr{\begin{cases}x=\frac{1}{3}\\x=10\end{cases}}\)
b)\(2\left|\frac{1}{2}x-\frac{1}{3}\right|-\frac{3}{2}=\frac{1}{4}\)
\(2\left|\frac{1}{2}x-\frac{1}{3}\right|=\frac{7}{4}\)
\(\left|\frac{1}{2}x-\frac{1}{3}\right|=\frac{7}{8}\)
\(\Rightarrow\hept{\begin{cases}\frac{1}{2}x-\frac{1}{3}=\frac{7}{8}\\\frac{1}{2}x-\frac{1}{3}=-\frac{7}{8}\end{cases}}\Rightarrow\hept{\begin{cases}x=\frac{29}{12}\\x=-\frac{13}{12}\end{cases}}\)
a)\(\left(3x-1\right)\left(\frac{-1}{2}x+5\right)=0\)
\(\Leftrightarrow\)3x - 1 = 0 hay \(\frac{-1}{2}\)x + 5 = 0
\(\Leftrightarrow\)3x = 1 I\(\Leftrightarrow\)\(\frac{-1}{2}\)x = -5
\(\Leftrightarrow\) x = \(\frac{1}{3}\) I\(\Leftrightarrow\) x = 10
b) 2 I \(\frac{1}{2}x-\frac{1}{3}\)I - \(\frac{3}{2}\)=\(\frac{1}{4}\)
\(\Leftrightarrow\) 2 I\(\frac{1}{2}x-\frac{1}{3}\)I = \(\frac{7}{4}\)
\(\Leftrightarrow\) I\(\frac{1}{2}x-\frac{1}{3}\)I = \(\frac{7}{8}\)
\(\Leftrightarrow\)\(\frac{1}{2}x-\frac{1}{3}\)= \(\frac{7}{8}\) hay \(\frac{1}{2}x-\frac{1}{3}\)= \(\frac{-7}{8}\)
\(\Leftrightarrow\)\(\frac{1}{2}x\) = \(\frac{29}{24}\) I\(\Leftrightarrow\)\(\frac{1}{2}x\) = \(\frac{-13}{24}\)
\(\Leftrightarrow\) x = \(\frac{29}{12}\) I\(\Leftrightarrow\) x = \(\frac{-13}{12}\)
c) (2x +\(\frac{3}{5}\))2 - \(\frac{9}{25}\)= 0
\(\Leftrightarrow\)(2x +\(\frac{3}{5}\))2 = \(\frac{9}{25}\)
\(\Leftrightarrow\) 2x +\(\frac{3}{5}\) = \(\frac{3}{5}\) hay 2x +\(\frac{3}{5}\)= \(\frac{-3}{5}\)
\(\Leftrightarrow\) 2x = 0 I \(\Leftrightarrow\)2x = \(\frac{-6}{5}\)
\(\Leftrightarrow\) x = 0 I \(\Leftrightarrow\) x = \(\frac{-3}{5}\)
d) 3(x -\(\frac{1}{2}\)) - 5(x +\(\frac{3}{5}\)) = -x + \(\frac{1}{5}\)
\(\Leftrightarrow\)3x - \(\frac{3}{2}\)- 5x - 3 = -x + \(\frac{1}{5}\)
\(\Leftrightarrow\)-2x + x - \(\frac{9}{2}\)- \(\frac{1}{5}\)= 0
\(\Leftrightarrow\)-x = \(\frac{-47}{10}\)
\(\Leftrightarrow\) x = \(\frac{47}{10}\)
-2x - 11 = 3x +2
-2x -11 - 2 = 3x
-2x - 13 = 3x
2x + 13 = 3x
13 = x
\(\left|2x-1\right|+\left|2x-3\right|=\left|2x-1\right|+\left|3-2x\right|\)
\(\Rightarrow A=\left|2x-1\right|+\left|3-2x\right|\ge\left|2x-1+3-2x\right|\)
\(\Rightarrow A=\left|2x-1\right|+\left|3-2x\right|\ge\left|2\right|=2\)
dấu "="xảy ra khi \(\left(2x-1\right).\left(3-2x\right)\ge0\)
\(\Rightarrow\frac{1}{2}\le x\le\frac{3}{2}\)
vậy min A=2 khi \(\frac{1}{2}\le x\le\frac{3}{2}\)
(3x + 1)2 - (2x - 5)2 = 0
<=> (3x + 1)2 = (2x - 5)2
TH1 : 3x + 1 = 2x - 5
<=> 3x - 2x = - 5 - 1
=> x = - 6
TH2 : 3x + 1 = - (2x - 5)
<=> 3x + 1 = - 2x + 5
<=> 3x + 2x = 5 - 1
<=> 5x = 4
=> x = 4/5
Vậy x = - 6 hoặc x = 4/5
(3x+1)2-(2x-5)2
(3x+1)2=(2x-5)2
3x+1=2x-5
3x-2x=-5-1
x=-6
Vậy x=-6