x ²-2x+4=(2x-2) ² tinh giup minh vs nha mng

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x ²-2x+4=(2x-2) ² tinh giup minh vs nha mng

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Quinn 3 tuần 2021-07-09T21:50:17+00:00 2 Answers 0 views 0

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    0
    2021-07-09T21:51:45+00:00

    `x^2-2x+4=(2x-2)^2`

    `⇔x^2-2x+4=(2x)^2-2.2x.2+2^2`

    `⇔x^2-2x+4=4x^2-8x+4`

    `⇔x^2-4x^2-2x+8x=4-4`

    `⇔-3x^2+6x=0`

    `⇔-3x(x-2)=0`

    `⇔`\(\left[ \begin{array}{l}`3x=0\\x-2=0\end{array} \right.\) 

    `⇔`\(\left[ \begin{array}{l}`x=0\\x=2\end{array} \right.\) 

    $\text{Vậy S={0;2}.}$

    0
    2021-07-09T21:51:56+00:00

    $x^{2}-2x+4=(2x-2)^{2}$

    ⇔$x^{2}-2x+4=4x^{2}-8x+4$

    ⇔$x^{2}-2x-4x^{2}+8x=4-4$

    ⇔$-3x^{2}+6x=0$

    ⇔$-3x(x-2)=0$

    ⇔\(\left[ \begin{array}{l}-3x=0\\x-2=0\end{array} \right.\) 

    ⇔\(\left[ \begin{array}{l}x=0\\x=2\end{array} \right.\) 

    Vậy $x=0$ hoặc $x=2$

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