Question

( 2x - 3 ) ( x + 2 ) = 3 - ( x - 6 ) ( 3x - 2)

 

Answer 1

( 2x - 3 ) ( x + 2 ) = 3 - ( x - 6 ) ( 3x - 2)???

Answer 2

PT \(\Leftrightarrow2x^2+x-6=-3x^2+20x-9\)

      \(\Leftrightarrow5x^2-19x+3=0\)

      \(\Leftrightarrow x^2-\dfrac{19}{5}x+\dfrac{3}{5}=0\)

      \(\Leftrightarrow x^2-2\cdot x\cdot\dfrac{19}{10}+\dfrac{361}{100}-\dfrac{301}{100}=0\)

       \(\Leftrightarrow\left(x-\dfrac{19}{10}\right)^2=\dfrac{301}{100}\)

       \(\Leftrightarrow\left[{}\begin{matrix}x-\dfrac{19}{10}=\dfrac{\sqrt{301}}{10}\\x-\dfrac{19}{10}=\dfrac{-\sqrt{301}}{10}\end{matrix}\right.\) \(\Leftrightarrow x=\dfrac{19\pm\sqrt{301}}{10}\)

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