Question

2x mũ 2 = 3 - x

Answer 1

PT <=> \(2x^2+x-3=0\)

<=> \(\left(2x^2-2x\right)+\left(3x-3\right)=0\)

<=> \(2x\left(x-1\right)+3\left(x-1\right)=0\)

<=> \(\left(x-1\right)\left(2x+3\right)=0\)

<=> \(\left[{}\begin{matrix}x=1\\x=\frac{-3}{2}\end{matrix}\right.\)

Answer 2

2x²=3-x

⇔2x²+x-3=0

⇔2x²-2x+3x-3=0

⇔2x(x-1)+3(x-1)=0

⇔(2x+3)(x-1)=0

⇔\(\left[{}\begin{matrix}2x+3=0\\x-1=0\end{matrix}\right.\Leftrightarrow\left[{}\begin{matrix}x=-\frac{3}{2}\\x=1\end{matrix}\right.\)

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