# For what real numbers x is #x^2-6x+9# negative?

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There aren't any.

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To find the real numbers for which ( x^2 - 6x + 9 ) is negative, we need to solve the inequality ( x^2 - 6x + 9 < 0 ). This quadratic expression factors as ( (x - 3)^2 ). Since the square of any real number is nonnegative, ( (x - 3)^2 ) is always nonnegative, and hence can never be negative. Therefore, there are no real numbers ( x ) for which ( x^2 - 6x + 9 ) is negative.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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