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galben [10]
3 years ago
10

Find the five consecutive Integer have a product of 524,160​

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
6 0

The numbers are:

12

13

14

15

16

<h2>Explanation:</h2>

An integer is a number that consists of the zero, the positive natural numbers and the negative integers. So, in this case, we have to find the five consecutive Integer have a product of 524,160​.

So, let the first number be x then the other consecutive integers can be found as follows:

x:First \ number \\ \\ x+1:Second \ number \\ \\ x+2:Third \ number \\ \\ x+3:Fourth \ number \\ \\ x+4:Fifth \ number

So the product is:

x(x+1)(x+2)(x+3)(x+4)=524160

We can solve this problem saying that:

f(x)=x(x+1)(x+2)(x+3)(x+4) \\ \\ \\ Or: \\ \\ y=x(x+1)(x+2)(x+3)(x+4) \\ \\ \\ If \ we \ set \ y= 524160 \\ \\ \\ Then: \\ \\ x(x+1)(x+2)(x+3)(x+4)=524160

By using graphing tool, we plot:

<u>1. The function:</u>

f(x)=x(x+1)(x+2)(x+3)(x+4)

<u>2. The line:</u>

y=524160

The solution is the intersection of both the function f(x) and the line, which is x. The result is shown below. So:

x=12 \\ \\ x+1=13 \\ \\ x+2=14 \\ \\ x+3=15 \\ \\ x+4=16

<h2>Learn more:</h2>

Cross section: brainly.com/question/12540762

#LearnWithBrainly

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Given

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