Bài 5 : tìm x,biết a) ( x – `(1)/(2)` ) ^4 – 3 . 5 = (-65)^0

Bài 5 : tìm x,biết
a) ( x – `(1)/(2)` ) ^4 – 3 . 5 = (-65)^0

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  1. `(x-1/2)^4-3.5=(-65)^0`

    `=>(x-1/2)^4-15=1`

    `=> (x-1/2)^4=1+15=16`

    `=> (x-1/2)^4=±2^4`

    `=> x-1/2 = 2` hoặc `x-1/2=-2`

    `=> x=5/2` hoặc `x=-3/2`

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  2. `(x-1/2)^4-3.5=(-65)^0`

    `(x-1/2)^4-15=1`

    `(x-1/2)^4=16`

    \(↔\left[ \begin{array}{l}x-\dfrac{1}{2}=2\\x-\dfrac{1}{2}=-2\end{array} \right.\)

    \(↔\left[ \begin{array}{l}x=\dfrac{5}{2}\\x=-\dfrac{3}{2}\end{array} \right.\)

    Vậy `x={5/2,-3/2}`

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