malearlobb
malearlobb malearlobb
  • 14-09-2017
  • Mathematics
contestada

one positive integer is 5 less than another. the product of the two integers is 36. what are the integers?

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kishorrock1315ow60os
kishorrock1315ow60os kishorrock1315ow60os
  • 14-09-2017
 let the numbers be x and (x-5)

x(x-5)=36

x^2-5x-36=0

solving the equation we get

x=9 and x= -4
 
now find out the integers
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musiclover10045
musiclover10045 musiclover10045
  • 14-09-2017

1st number = x

2nd number = x-5

x*(x-5) = 36

x^2-5x =36

x^2 -5x-36 = 0

factor the polynomial:

(x-9) (x+4)

9-9 = 0, -4 +4 = 0

 so x = 9 or -4

 the question states a positive number

 so x = 9

 the 2 numbers are 9 and 4

 

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