a)\(3x-\dfrac{2}{5}=0=>3x=\dfrac{2}{5}=>x=\dfrac{2}{15}\)

b)\(\left(x-3\right)\left(2x+8\right)=0=>\left[{}\begin{matrix}x-3=0\\2x=-8\end{matrix}\right.=>\left[{}\begin{matrix}x=3\\x=-4\end{matrix}\right.\)

c)\(3x^2-x-4=0=>3x^2+3x-4x-4=0=>\left(3x-4\right)\left(x+1\right)=0\)

\(=>\left[{}\begin{matrix}3x=4\\x+1=0\end{matrix}\right.=>\left[{}\begin{matrix}x=\dfrac{3}{4}\\x=-1\end{matrix}\right.\)

d) \(2x^2+5x-7=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=1\\x=-\dfrac{7}{2}\end{matrix}\right.\) \(\left(a+b+c=1\right)\)

a. f(\(\dfrac{-1}{2}\)) = \(4.\left(\dfrac{-1}{2}\right)^2+3.\left(\dfrac{-1}{2}\right)-2\) 

               = \(4.\dfrac{1}{4}-\left(\dfrac{-3}{2}\right)-\dfrac{4}{2}\)

               = \(\dfrac{2}{2}+\dfrac{3}{2}-\dfrac{4}{2}\)

               = \(\dfrac{1}{2}\)

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Câu hỏi của titanic - Toán lớp 9 - Học toán với OnlineMath

a) 2²(6x - 3²) - 3 = 33

4(6x - 9) = 33 + 3

4(6x - 9) = 36

6x - 9 = 36 : 4

6x - 9 = 9

6x = 9 + 9

6x = 18

x = 18 : 6

x = 3

b) 4(x + 2) = 3(x + 1) + 17

4x + 8 = 3x + 3 + 17

4x - 3x = 3 + 17 - 8

x = 12

\(\Leftrightarrow6x^2-9x-32x+48=0\)

\(\Leftrightarrow3x\left(2x-3\right)-16\left(2x-3\right)=0\)

\(\Leftrightarrow\left(2x-3\right)\left(3x-16\right)=0\)

\(\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=\dfrac{16}{3}\end{matrix}\right.\)

\(x\) = 1,5; \(x\) = \(\dfrac{16}{3}\)

\(6x^2-41x+48=0\\\Leftrightarrow\left(2x-3\right)\left(3x-16\right)=0\\ \Leftrightarrow\left[{}\begin{matrix}2x-3=0\\3x-16=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=\dfrac{3}{2}\\x=\dfrac{16}{3}\end{matrix}\right.\)