The product of two consecutive integers is 380. How do you find the integers?

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Answer 1 · 2016-07-14T17:01:53

There are 2 such pairs: #(-20;-19)# and #(19;20)#

To find the numbers we have to solve the equation :

#nxx(n+1)=380#

#n^2+n-380=0#

#Delta=1-4xx1xx(-380)#

#Delta=1521#

#sqrt(Delta)=39#

#n_1=(-1-39)/2=-20#

#n_2=(-1+39)/2=19#

Now the solutions are: #n_1=-20;n_1+1=-19# and #n_2=19;n_2+1=20#