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X^2 + 1/2x +____ = 2 + ____

1 Answer

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Answer:

1/16, 1/16

Explanation:

Perhaps you want to complete the square. You do that by adding the square of half the x-coefficient:

((1/2)/2)^2 = (1/4)^2 = 1/16

The number to complete the square is 1/16. It is added to both sides of the equation to give ...

x^2 +1/2x +1/16 = 2 +1/16

_____

Written as a square, the equation is ...

(x +1/4)^2 = 33/16

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