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Bài 2:
a: \(2x^4-8x^2=0\)
\(\Leftrightarrow2x^2\left(x^2-4\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=0\\x=2\\x=-2\end{matrix}\right.\)
b: Ta có: \(\dfrac{2}{5}x\left(x+10\right)-x-10=0\)
\(\Leftrightarrow\left(x+10\right)\left(\dfrac{2}{5}x-1\right)=0\)
\(\Leftrightarrow\left[{}\begin{matrix}x=-10\\x=\dfrac{5}{2}\end{matrix}\right.\)
a: Ta có: \(A=x^2-20x+101\)
\(=x^2-20x+100+1\)
\(=\left(x-10\right)^2+1\ge1\forall x\)
Dấu '=' xảy ra khi x=10
-7x + 3(x-1) > 8-x
-7x + 3x - 3 > 8-x
-4x - 3 > 8 - x
-4x + x > 8+3
-3x > 11
x > -11/3
-7x + 3(x -1)>8 - x
⇔ -7x + 3x - 3>8 - x
⇔ -7x + 3x + x> 8 + 3
⇔ -3x>11
⇔ x< -11/3
\(ax-2x-a^2+2a=x\left(a-2\right)-a\left(a-2\right)=\left(a-2\right)\left(x-a\right)\)
\(a,\Leftrightarrow2x^2\left(x^2-4\right)=0\\ \Leftrightarrow2x^2\left(x-2\right)\left(x+2\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x=0\\x=2\\x=-2\end{matrix}\right.\\ b,\Leftrightarrow\left(x+10\right)\left(\dfrac{2}{5}x-1\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}x+10=0\\\dfrac{2}{5}x=1\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-10\\x=\dfrac{5}{2}\end{matrix}\right.\)
a) \(2x^4-8x^2=0\)
\(2x^2\left(x^2-4\right)=0\)
⇔\(\left[{}\begin{matrix}2x^2=0\\x^2=4\end{matrix}\right.\)
⇔\(\left[{}\begin{matrix}x=0\\\left[{}\begin{matrix}x=2\\x=-2\end{matrix}\right.\end{matrix}\right.\)