CHAPTER 11  Objective 5.1  Exercises

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Solve.

1.  The sum of the squares of two consecutive positive even integers is fifty-two. Find the two integers.

2.  The difference between the squares of two consecutive odd integers is thirty-two. Find the two integers.

3.  The sum of the squares of three consecutive integers is fourteen. Find the three integers.

4.  An integer plus three times the square of the integer is ten. Find the integer.

5.  The sum of the squares of three consecutive odd integers is eleven. Find the three integers.

6.  One car is three years older than a second car. The product of their ages is 18. Find the present ages of the two cars.

7.  Three times the square of an integer minus the integer is 24. Find the integer.

8.  Three times the sum of twice an integer and the square of the integer is 24. Find the integer.

9.  One car is three years older than a second car. Three years ago the product of their ages was 54. Find the present ages of the two cars.

10.  One coin is twice the age of a second coin. One year ago the produce of their ages was 36. Find the present ages of the coins.

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