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the product of two consecutive integers is 5 more than three times the larger integer. Find the larger integer.

 Mar 5, 2021
 #1
avatar+757 
0

x(x+1) = 3(x+1)+5

x^2 + x = 3x + 8

x^2 - 2x - 8. 

(x-4)(x+2)

x = 4, x = -2

But testing, x = -2 doesn't work, so x = 4. 

4+1 = 5

The larger number is 5. 

 

I hope this helped. :))

=^._.^=

 Mar 5, 2021
 #2
avatar+30523 
+1

x = larger      x-1 = smaller

 

x (x-1) = 5 + 3x

x^2 -x = 5+3x

x^2 -4x-5=0

(x-5)(x+1) = 0      x =   5     or   -1       then smaller is   4  or -2           5 and 4      or    -1 and -2

 Mar 5, 2021
edited by ElectricPavlov  Mar 5, 2021

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