Tìm x :
-1/7 . 23 - 2x : 7/3 = -2x - 1
giúp mk với
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a. 9x2 - 6x - 3 = 0
<=> 3(3x2 - 2x - 1) = 0
<=> 3(3x2 - 3x + x - 1) = 0
<=> \(3\left[3x\left(x-1\right)+\left(x-1\right)\right]=0\)
<=> 3(3x + 1)(x - 1) = 0
<=> \(\left[{}\begin{matrix}3x+1=0\\x-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{-1}{3}\\x=1\end{matrix}\right.\)
b. (2x + 1)2 - 4(x + 2)2 = 9
<=> (2x + 1)2 - \(\left[2\left(x+2\right)\right]^2=9\)
<=> (2x + 1 - 2x - 4)(2x + 1 + 2x + 4) = 9
<=> -3(4x + 5) = 9
<=> 4x + 5 = -3
<=> 5 + 3 = -4x
<=> -4x = 8
<=> -x = 2
<=> x = -2
a) \(\Leftrightarrow\left(9x^2-6x+1\right)-4=0\)
\(\Leftrightarrow\left(3x-1\right)^2-4=0\)
\(\Leftrightarrow3\left(x-1\right)\left(3x+1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-\dfrac{1}{3}\end{matrix}\right.\)
b) \(\Leftrightarrow4x^2+4x+1-4x^2-16x-16=9\)
\(\Leftrightarrow12x=-24\Leftrightarrow x=-2\)
c) \(\Leftrightarrow3x^2-6x+3-3x^2+15x=21\)
\(\Leftrightarrow9x=18\Leftrightarrow x=2\)
d) \(\Leftrightarrow x^2+6x+9-x^2-4x+32=1\)
\(\Leftrightarrow2x=-40\Leftrightarrow x=-20\)
a, để pt trên là pt bậc nhất khi m khác 2
b, Ta có \(2x+5=x+7-1\Leftrightarrow x=1\)
Thay x = 1 vào pt (1) ta được
\(2\left(m-2\right)+3=m-5\Leftrightarrow2m-1=m-5\Leftrightarrow m=-4\)
\(2x+1⋮x-1\)
=>\(2x-2+3⋮x-1\)
=>\(3⋮x-1\)
=>\(x-1\in\left\{1;-1;3;-3\right\}\)
=>\(x\in\left\{2;0;4;-2\right\}\)
2x+1⋮x−12x+1⋮x-1
⇔(2x−2)+3⋮x−1⇔(2x-2)+3⋮x-1
⇔2(x−1)+3⋮x−1⇔2(x-1)+3⋮x-1
Mà x−1⋮x−1x-1⋮x-1
⇒2(x−1)⋮x−1⇒2(x-1)⋮x-1
⇒3⋮x−1⇒3⋮x-1
⇔x−1∈Ư(3)={±1;±3}⇔x-1∈Ư(3)={±1;±3}
⇔x∈{0;2;4;−2}⇔x ∈{0;2;4;-2}
Vậy x∈{0;±2;4}x ∈{0;±2;4} thì 2x+1⋮x−1
\(1.\\ A=\sqrt{\left(2+\sqrt{3}\right)^2}+\sqrt{\left(2-\sqrt{3}\right)^2}\\ =\left|2+\sqrt{3}\right|+\left|2-\sqrt{3}\right|\\ =2+\sqrt{3}+2-\sqrt{3}=4\)
\(2.\\a.\\ P=3x-\sqrt{\left(x-5\right)^2}=3x-\left|x-5\right|\\ b.\\ x=2\Rightarrow P=3\)
\(3.\\ M=\dfrac{\sqrt{\left(x-1\right)^2}}{x-1}=\dfrac{\left|x-1\right|}{x-1}\)
\(\cdot x>1\Rightarrow M=1\\ \cdot x=1\Rightarrow M=0\\\cdot x< 1\Rightarrow M=-1\)
B1.
Ta có:A\(=\sqrt{3+4\sqrt{3}+4}+\sqrt{3-4\sqrt{3}+4}\)
\(=\sqrt{\left(\sqrt{3}+2\right)^2}+\sqrt{\left(\sqrt{3}-2\right)^2}\)
\(=\sqrt{3}+2+\sqrt{3}-2=2\sqrt{3}\)
\(\left(3x+2\right)\left(x-1\right)+\left(x+3\right)\left(x-7\right)+2x+23=0\\ \Leftrightarrow3x^2+2x-3x-2+x^2+3x-7x-21+2x+23=0\\ \Leftrightarrow3x^2-x^2+2x-3x+3x-7x+2x-2-21+23=0\\ \Leftrightarrow x^2-3x=0\\ \Leftrightarrow x.\left(x-3\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=0\\x-3=0\end{matrix}\right.\)
<=> x=0 hoặc x=3
(3x+2)(x-1)+(x+3)(x-7)+2x+23=0
=>3x2+2x-3x-2+x2+3x-7x-21+2x=-23
=>(3x2+x2)+(2x-3x+3x-7x+2x) -(2+21)=-23
=>4x2-3x-23=-23
=>4x2-3x=-23+23=0
=>x(4x-3)=0
=>x=0 hoặc 4x-3=0
=>x=0 hoặc x=3/4.
a: \(5^{\left(x-2\right)\left(x+3\right)}=1\)
=>\(\left(x-2\right)\left(x+3\right)=0\)
=>\(\left[{}\begin{matrix}x-2=0\\x+3=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=2\\x=-3\end{matrix}\right.\)
c: \(\left|x^2+2x\right|+\left|y^2-9\right|=0\)
mà \(\left\{{}\begin{matrix}\left|x^2+2x\right|>=0\forall x\\\left|y^2-9\right|>=0\forall y\end{matrix}\right.\)
nên \(\left\{{}\begin{matrix}x^2+2x=0\\y^2-9=0\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}x\left(x+2\right)=0\\\left(y-3\right)\left(y+3\right)=0\end{matrix}\right.\)
=>\(\left\{{}\begin{matrix}x\in\left\{0;-2\right\}\\y\in\left\{3;-3\right\}\end{matrix}\right.\)
d: \(2^x+2^{x+1}+2^{x+2}+2^{x+3}=120\)
=>\(2^x\left(1+2+2^2+2^3\right)=120\)
=>\(2^x\cdot15=120\)
=>\(2^x=8\)
=>x=3
e: \(\left(x-7\right)^{x+1}-\left(x-7\right)^{x+11}=0\)
=>\(\left(x-7\right)^{x+11}-\left(x-7\right)^{x+1}=0\)
=>\(\left(x-7\right)^{x+1}\left[\left(x-7\right)^{10}-1\right]=0\)
=>\(\left[{}\begin{matrix}x-7=0\\x-7=1\\x-7=-1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=7\\x=8\\x=6\end{matrix}\right.\)
-1/7.23-2x.3/7=-2x-1
-23/7-6x/7=-2x-1
\(\frac{-23-6x}{7}\)=-2x-1
-23-6x=-14x-7
-23+7=-14x+6x
-16=-8x
x=2