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a: =>\(4x-5=2x-2+x=3x-2\)
=>x=3
b: \(\Leftrightarrow7x-35=3x+6\)
=>4x=41
=>x=41/4
c: =>(2x+5)(x+5)-2x^2=0
=>2x^2+10x+5x+25-2x^2=0
=>15x=-25
=>x=-5/3
e: \(\Leftrightarrow\dfrac{11}{x}=\dfrac{9x-36+2x+2}{\left(x+1\right)\left(x-4\right)}\)
=>11(x^2-3x-4)=x(11x-34)
=>11x^2-33x-44=11x^2-34x
=>x=44
a) \(\Rightarrow\dfrac{1}{3}x\left(x-2\right)\left(x+2\right)=0\Rightarrow\left[{}\begin{matrix}x=0\\x=2\\x=-2\end{matrix}\right.\)
b) \(\Rightarrow\left(x+5\right)\left(x-1\right)=0\Rightarrow\left[{}\begin{matrix}x=-5\\x=1\end{matrix}\right.\)
c) \(\Rightarrow x\left(x^2-\dfrac{1}{9}\right)=0\Rightarrow x\left(x-\dfrac{1}{3}\right)\left(x+\dfrac{1}{3}\right)=0\Rightarrow\left[{}\begin{matrix}x=0\\x=\dfrac{1}{3}\\x=-\dfrac{1}{3}\end{matrix}\right.\)
e) \(\Rightarrow\left(x+2\right)\left(x+2-x+2\right)=0\Rightarrow\left(x+2\right).4=0\Rightarrow x=-2\)
f) \(\Rightarrow x\left(2x-3\right)+2\left(2x-3\right)=0\Rightarrow\left(2x-3\right)\left(x+2\right)=0\Rightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=-2\end{matrix}\right.\)
g) \(\Rightarrow2\left(3x-2\right)^2-\left(3x-2\right)\left(3x+2\right)=0\Rightarrow\left(3x-2\right)\left(3x-6\right)=0\Rightarrow\left[{}\begin{matrix}x=\dfrac{2}{3}\\x=2\end{matrix}\right.\)
h) \(\Rightarrow x\left(x+1\right)\left(x+2\right)=0\Rightarrow\left[{}\begin{matrix}x=0\\x=-1\\x=-2\end{matrix}\right.\)
i) \(\Rightarrow4x\left(x+1\right)+5\left(x+1\right)=0\Rightarrow\left(x+1\right)\left(4x+5\right)=0\Rightarrow\left[{}\begin{matrix}x=-1\\x=-\dfrac{5}{4}\end{matrix}\right.\)
x + x2 = 0
=> x(1 + x) = 0
=> x = 0 hoặc x + 1 = 0
=> x = 0 hoặc x = -1
vậy_
mk biến đổi về pt tích, sau đó bạn tính nốt nhé:
b) \(x+1-\left(x+1\right)^2=0\)
<=> \(\left(x+1\right)\left(1-x-1\right)=0\)
<=> \(-x\left(x+1\right)=0\)
c) \(15y\left(4y-9\right)-3\left(4y-9\right)=0\)
<=> \(3\left(4y-9\right)\left(5y-1\right)=0\)
d) \(8\left(25z+7\right)-27z\left(25z+7\right)=0\)
<=> \(\left(25z+7\right)\left(8-27z\right)=0\)
a) \(x+x^2=0\Leftrightarrow x\left(1+x\right)=0\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-1\end{matrix}\right.\)
b) \(x+1-\left(x+1\right)^2=0\Leftrightarrow\left(x+1\right)\left(1-x-1\right)=0\)
\(\Leftrightarrow-x\left(x+1\right)\Leftrightarrow\left[{}\begin{matrix}x=0\\x=-1\end{matrix}\right.\)
c) \(15y\left(4y-9\right)-3\left(4y-9\right)=0\Leftrightarrow\left(15y-3\right)\left(4y-9\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{3}{15}=\dfrac{1}{5}\\x=\dfrac{9}{4}\end{matrix}\right.\)
d) \(8\left(25z+7\right)-27z\left(25z+7\right)=0\Leftrightarrow\left(8-27z\right)\left(25z+7\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}z=\dfrac{8}{27}\\z=\dfrac{-7}{25}\end{matrix}\right.\)
\(5-9x^2=0\)
\(\Leftrightarrow9x^2=5\)
\(\Leftrightarrow x^2=\dfrac{5}{9}\)
\(\Rightarrow\left[{}\begin{matrix}x=\sqrt{\dfrac{5}{9}}\\x=-\sqrt{\dfrac{5}{9}}\end{matrix}\right.\Rightarrow\left[{}\begin{matrix}x=\dfrac{\sqrt{5}}{3}\\x=-\dfrac{\sqrt{5}}{3}\end{matrix}\right.\)
\(x^2+x+\dfrac{1}{4}=0\)
\(\Leftrightarrow\left(x+\dfrac{1}{2}\right)^2=0\)
\(\Rightarrow x+\dfrac{1}{2}=0\Rightarrow x=-\dfrac{1}{2}\)
Học tốt nha<3
\(5-9x^2=0\\ 9x^2=5\\ x^2=\dfrac{5}{9}\\ \Rightarrow\left[{}\begin{matrix}x=\dfrac{-\sqrt{5}}{3}\\x=\dfrac{\sqrt{5}}{3}\end{matrix}\right.\)
\(x^2+x+\dfrac{1}{4}=0\\ \left(x+\dfrac{1}{2}\right)^2=0\\ x+\dfrac{1}{2}=0\\ x=\dfrac{-1}{2}\)