One number is 5 greater than another number.If the sum of their squares is 5 times the square of the smaller number,what are the numbers?
5 and 10
let the smaller number be n, then the 2nd will be n + 5
(require factors of (-75) that also sum to (-10) )
These are 5 and - 15 : now rewrite equation as
3n^2 - 15n + 5n - 25 = 0 and factoring gives
3n(n - 5 ) + 5 (n - 5 ) = 0 so (n - 5 )(3n + 5 ) = 0
but n cannot be negative and hence n = 5 and n + 5 = 10
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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.
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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