tim x biet (6x)^3:8=(2x-1)^3
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\(\left(3-\sqrt{2x}\right)\left(2-3\sqrt{2x}\right)=6x-5\)ĐK : x>= 0
\(\Leftrightarrow6-9\sqrt{2x}-2\sqrt{2x}+6x=6x-5\)
\(\Leftrightarrow-11\sqrt{2x}+6x+6=6x-5\Leftrightarrow-11\sqrt{2x}=-11\)
\(\Leftrightarrow\sqrt{2x}=1\Leftrightarrow2x=1\Leftrightarrow x=\dfrac{1}{2}\left(tm\right)\)
\(\Leftrightarrow\left(2x+3-2x+5\right)^2=x^2+6x+64\)
=>x^2+6x=0
=>x(x+6)=0
=>x=0 hoặc x=-6
a) = (3x +1)2 =0
3x+1 =0
x = -1/3
b) = (5x)2 -22 =0
(5x+2)(5x-2) = 0
5x+2 =0
x = -2/5
5x -2 =0
x= 2/5
xem đi rui lam tip
a) 9x2 + 6x + 1 = 0 => (3x)2 + 2 x 3x + 1 = 0 => (3x + 1)2 = 0 => 3x + 1 = 0 => x = \(\frac{-1}{3}\)
b) 25x2 = 4 => x2 = 4 : 25 => x2 = 0,16 => x = 0,4 hoặc x = -0,4
c) 8 - 125x3 = 0 => 125x3 = 8 => x3 = 8 : 125 => x3 = \(\frac{8}{125}\)=> x = \(\frac{2}{5}\)
Tim x,
a,2x^4-6x^3+x^2+6x-3=0
b,x^3-9x^2+26x+24=0
c, P= 2x^4 - 4x^3 + 6x^2 - 4x + 5 biet rang x^2 - x=7
a)\(2x^4-6x^3+x^2+6x-3=0\)
\(\Leftrightarrow2x^4-6x^3+3x^2-2x^2+6x-3=0\)
\(\Leftrightarrow x^2\left(2x^2-6x+3\right)-\left(2x^2-6x+3\right)=0\)
\(\Leftrightarrow\left(x^2-1\right)\left(2x^2-6x+3\right)=0\)
\(\Leftrightarrow\left(x-1\right)\left(x+1\right)\left(2x^2-6x+3\right)=0\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}x-1=0\\x+1=0\\2x^2-6x+3=0\end{array}\right.\)\(\Leftrightarrow\left[\begin{array}{nghiempt}x=1\\x=-1\\\Delta_{2x^2-6x+3}=\left(-6\right)^2-4\left(2.3\right)=12\end{array}\right.\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}x=1\\x=-1\\x_{1,2}=\frac{6\pm\sqrt{12}}{4}\end{array}\right.\)
b)\(x^3+9x^2+26x+24=0\)
\(\Leftrightarrow x^3+5x^2+6x+4x^2+20x+24=0\)
\(\Leftrightarrow x\left(x^2+5x+6\right)+4\left(x^2+5x+6\right)=0\)
\(\Leftrightarrow\left(x^2+5x+6\right)\left(x+4\right)=0\)
\(\Leftrightarrow\left(x+2\right)\left(x+3\right)\left(x+4\right)=0\)
\(\Leftrightarrow\left[\begin{array}{nghiempt}x+2=0\\x+3=0\\x+4=0\end{array}\right.\)\(\Leftrightarrow\left[\begin{array}{nghiempt}x=-2\\x=-3\\x=-4\end{array}\right.\)
12x/6 + 4x/6 - 3x/6 = 3/8 - 1/4 - 1/6
13x/6 = (9 - 6 - 4)/24 = -1/24
--> x = -1/52
4x(3x - 5) + 2x(8 - 6x) = 24
12x2 - 20x + 16x - 12x2 = 24
-4x = 24
x = -6
* Chúc bạn học tốt .
4x(3x -5)+2x(8-6x) =24
=>2x(3x-5)+x(8-6x)=12
=>6x2-10x+8x-6x2=12
=>-2x=12
=>x=-6
=>x+6=0
=>x=-6
Lời giải:
$(6x)^3:8=(2x-1)^3$
$\Rightarrow (\frac{6x}{2})^3=(2x-1)^3$
$\Rightarrow (3x)^3=(2x-1)^3$
$\Rightarrow 3x=2x-1$
$\Rightarrow x=-1$