Lösung 2.3:1c

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As always when completing the square, we focus on the quadratic and linear terms \displaystyle 2x-x^{2}, which we also can write as \displaystyle -(x^{2}-2x). If we neglect the minus sign, we can complete square of the expression \displaystyle 2x-x^{2} by using the formula

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and we obtain

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This means that

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A quick check shows that we have completed the square correctly

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