The following trinomial is in the form ax^2 + bx + c. Find two integers that have a product of ac and a sum of b. There is no need to factor the trinomial

15t^2 - 17t -4

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Let the two integers be g and h
We want g*h = 15*(-4) = -60
And g+h ...

Solution Summary

This shows how to find integers with given characteristics.

I need a step by step instruction, in easy to understand terms and not using excel, to the following problem:
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Prove the cancellation law for integers: If a, b, c are integers such that ac=bc and c is non zero, then a=b.
Hint for proof* use the cancellation law: Let a, b, c be natural numbers such that ac=bc and c is non zero, then a=b
Use the trichotomy of integers.

The sum of the squares of two consecutive integers is 4513. What are the integers?
English Language Mathematical Language
The twointegers ?
The integers are consecutive ?
The sum of their squares is 4513

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Is the conclusion true if 6 integers are selected instead of 7
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Suppose thatintegers 1,2,3,4,5,6,7,8,9,10 are arranged randomly along a circle.
1) show that For each circular arrangement, there exists at least three adjacent numbers whose sum is greater than 17
2) take n + 1 integers from {1,2,3,....., 2n}. Show there exist twointegers, one divides the other completely.

(a) Verify that 2Z (the set of even integers) forms a group under ordinary addition.
(b) Give two reasons why the set of odd integers would not form a group under ordinary addition.
See Attachment.