Which of the following equations has the same solutions as \(x^{2}-10 x+16=0\) ?

\((x-5)^{2}=9\)

Explanation

The answer choices are in square form, so use the complete the square method. In this equation, b = –10, so, to have a perfect square. To get c = 25, add 9 to both sides to get \(x^{2}-10 x+25=9\). Factor the left side to get \((x-5)^{2}=9\).

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