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# Is this True or False: For all real values of x, x2 - 4x + 4 = | x2 - 4x + 4 |?

True or False?

Update:

For all real values of x, x^2 - 4x + 4 = | x^2 - 4x + 4 |

sorry forgot the exponet symbol

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- 1 decade agoFavorite Answer
True.

According to the definition of absolute value, a = |a| when a is greater than or equal to zero.

x2 - 4x + 4 = (x -2)2, which is always greater than or equal to zero regardless of the value of x, therefore x2 - 4x + 4 = its absolute value.

- 1 decade ago
if you factor both sides of the polynomial (its a perfect square) and set them =0. so (x-2)(x-2)=0, x-2=0, and x=2 and |(x-2)(x-2)=0|, so |x-2=0|, |x=2|. The absolute value of |2| is 2, so for this equation, the answer would be correct.

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