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Câu hỏi x.(x-9)=0
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Tìm x biết :
45 - [ ( 72 - 8 . x ) : 4 + 7 ] . 3 = 0
[ ( 72 - 8 . x ) :4 + 7 ] . 3 = 45 - 0
[ ( 72 - 8 . x) : 4 + 7 ] . 3 = 45
( 72 - 8 . x ) : 4 + 7 = 45 : 3
( 72 - 8 . x ) : 4 + 7 = 15
( 72 - 8 . x ) : 4 = 15 - 7
( 72 - 8 . x ) : 4 = 8
72 - 8 . x = 8 × 4
72 - 8 . x = 32
8 . x = 72 - 32
8 . x = 40
x = 40 : 8
x = 5
Vậy x = 5
\([\left(72-8\cdot x\right):4+7]\cdot3=45-0\)
\([\left(72-8\cdot x\right):4+7]\cdot3=45\)
\(\left(72-8\cdot x\right):4+7=45:3\)
\(\left(72-8\cdot x\right):4+7=15\)
\(\left(72-8\cdot x\right):4=15-7\)
\(\left(72-8\cdot x\right):4=8\)
\(72-8\cdot x=8\cdot4\)
\(72-8\cdot x=32\)
\(8x=72-32\)
\(8x=40\)
\(x=40:8\)
\(x=5\)
\(72-3\left|x\right|=9\)
\(3\left|x\right|=72-9=63\)
\(\left|x\right|=63:3=21\)
\(\Rightarrow x=\pm21\)
a
\(x+x^2-x^3-x^4=0\\ \Leftrightarrow x\left(1+x\right)-x^3\left(1+x\right)=0\\ \Leftrightarrow\left(1+x\right)\left(x-x^3\right)=0\\ \Leftrightarrow\left(1+x\right).x.\left(1-x^2\right)=0\\ \Leftrightarrow\left(1+x\right).x.\left(1-x\right)\left(1+x\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=0\\x=1\\x=-1\end{matrix}\right.\)
b
x^3 chứ: )
\(x^3+27+\left(x+3\right)\left(x-9\right)=0\\ \Leftrightarrow x^3+3^3+\left(x+3\right)\left(x-9\right)=0\\ \Leftrightarrow\left(x+3\right)\left(x^2-3x+9\right)+\left(x+3\right)\left(x-9\right)=0\\ \Leftrightarrow\left(x+3\right)\left(x^2-3x+9+x-9\right)=0\\ \Leftrightarrow\left(x+3\right)\left(x^2-2x\right)=0\\ \Leftrightarrow\left(x+3\right).x.\left(x-2\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=0\\x=-3\\x=2\end{matrix}\right.\)
b) Ta có: \(9x^4+8x^2-1=0\)
\(\Leftrightarrow9x^4+9x^2-x^2-1=0\)
\(\Leftrightarrow9x^2\left(x^2+1\right)-\left(x^2+1\right)=0\)
\(\Leftrightarrow\left(x^2+1\right)\left(9x^2-1\right)=0\)
mà \(x^2+1>0\forall x\)
nên \(9x^2-1=0\)
\(\Leftrightarrow9x^2=1\)
\(\Leftrightarrow x^2=\dfrac{1}{9}\)
hay \(x\in\left\{\dfrac{1}{3};-\dfrac{1}{3}\right\}\)
Vậy: \(S=\left\{\dfrac{1}{3};-\dfrac{1}{3}\right\}\)
10x(x-150)+150-x=0
<=> 10x(x-150)-(x-150)=0
<=> (x-150)(10x-1)=0
<=> \(\orbr{\begin{cases}x=150\\x=\frac{1}{10}\end{cases}}\)
vậy.
\(10x\left(x-150\right)+150-x=0\)
\(\Leftrightarrow10x^2-1500x+150-x=0\)
\(\Leftrightarrow10x^2-1501x+150=0\)
\(\Leftrightarrow10x^2-1501x=-150\Leftrightarrow x\left(10x-1501\right)=-150\)
\(\Leftrightarrow\hept{\begin{cases}x=-150\\10x-1501=-150\end{cases}\Leftrightarrow\hept{\begin{cases}x=-150\\x=\frac{-1651}{10}\end{cases}}}\)
=>\(5\cdot\dfrac{3\sqrt{x-3}}{5}-7\cdot\dfrac{2\sqrt{x-3}}{3}-7\cdot\sqrt{x^2-9}+18\cdot\sqrt{\dfrac{9}{81}\left(x^2-9\right)}=0\)
=>\(3\cdot\sqrt{x-3}-\dfrac{14}{3}\sqrt{x-3}=7\cdot\sqrt{x^2-9}-18\cdot\dfrac{3}{9}\cdot\sqrt{x^2-9}\)
=>\(-\dfrac{5}{3}\sqrt{x-3}=\sqrt{x^2-9}\)
=>\(\sqrt{x-3}\left(\sqrt{x+3}+\dfrac{5}{3}\right)=0\)
=>x-3=0
=>x=3
X. (X-9) =0
=> X=0 hoặc X-9=0
<=> X =0 hoặc X=-9
Vậy X = 0 hoặc -9...
Bài làm
@Hữu Nam: chuyển sang phải lại 9 chứ k pk âm 9 nha bn . Như z nè:
x( x - 9 ) = 0
<=> x = 0 hoặc x - 9 = 0
<=> x = 0 hoặc x = 9
Vậy x = 0 hoặc x = 9
# học tốt #