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Finger [1]
3 years ago
7

The difference of the squares of two consecutive odd integers is 72. Find both the integers. (1) Show the equation you used belo

w (this is the one step) and (2) give the answers. [Hint: There are two sets of answers.]
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
4 0

Answer:

17 and 19

Step-by-step explanation:

Let

The first off number = x

Second odd number = x + 2

The difference of the squares of two consecutive odd integers is 72

(x+2)^2 - (x)^2 = 72

x^2 + 4x + 4 - x^2 = 72

4x + 4 = 72

4x + 4 - 4 = 72 - 4

4x = 68

Divide both sides by 4

x = 68/4

= 17

x = 17

The first off number = x = 17

Second odd number = x + 2

= 17 + 2

= 19

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