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Setler [38]
2 years ago
5

The product of two consecutive integers is zero, find the integers. Show work

Mathematics
1 answer:
castortr0y [4]2 years ago
4 0

Answer:

0,1

Step-by-step explanation:

Let n represent the first interger. and n+1 represent the next interger.

n \times (n + 1) = 0

{n}^{2}  + n = 0

Complete the square.

( \frac{n}{2}  {)}^{2}  =  \frac{ {n}^{2} }{4}

{n}^{2}   +n +  \frac{ {n}^{2} }{4}  =  \frac{ {n}^{2} }{4}

(n +  \frac{n}{2} ) {}^{2}  =  \frac{n {}^{2} }{4}

Take the square root.

(n +  \frac{n}{2} ) =  \frac{n}{2}

n = 0

Plug 0 in for 0+1.

0 + 1 = 1

So the consective intergers are 0,1.

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lyudmila [28]

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