What is #55\div ( 4^{2} - 5)#?

Answer 1

5

To answer this type of question, we use the Order of Operations, also known as PEMDAS:

#55-:(4^2-5)#
We do #color(red)(P)# first: #color(red)(4^2-5)#
Now that we have this term isolated from the division, we now look to PEMDAS from the beginning again. There are no #color(red)(P)# but we do have an #color(blue)(E)#: #color(blue)(4^2=16)#
Now back to #color(red)(4^2-5)#, which we can rewrite as #color(red)(16-5=11)#
Now back to the fraction #55-:(4^2-5)#. Since we know that #4^2-5=11#, let's rewrite the expression: #55-:11=5#
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Answer 2

(55 \div (4^2 - 5) = 55 \div (16 - 5) = 55 \div 11 = 5)

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Answer from HIX Tutor

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.

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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