annamariamak0803 annamariamak0803

07-10-2020
Mathematics

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the product of two consecutive integers is eight. find all such integers.

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vsrivera2 vsrivera2

07-10-2020

x(x+1) = 10x - 8
x2+x=10x-8
x2-9x+8=0
solving this,
x2-8x-x+8=0
x(x-8)-1(x-8)=0
(x-1)(x-8)=0

So x=1 or x=8

The two sets would be
1 and 2
8 and 9

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