pokemon23
  • pokemon23
The product of two consecutive integers is three less than three times their sum.Find the integers.
Mathematics
chestercat
  • chestercat
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anonymous
  • anonymous
are the numbers 6 and 5
dumbcow
  • dumbcow
n(n+1) = 3(2n+1) -3
Directrix
  • Directrix
Let x and x + 1 be the consecutive integers x(x+1) = 3(x + x + 1) – 3 x^2 + x = 3(2x + 1) – 3 x = 0 and x = 5 ?

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dumbcow
  • dumbcow
n^2 -5n = 0
pokemon23
  • pokemon23
then we factor right
dumbcow
  • dumbcow
right pull out an n
pokemon23
  • pokemon23
n(n-5)=0
pokemon23
  • pokemon23
n=0
pokemon23
  • pokemon23
n=5
pokemon23
  • pokemon23
yup ;D
Directrix
  • Directrix
So, the pairs are 0,1 and 5,6
pokemon23
  • pokemon23
how is it 0 and 1?
pokemon23
  • pokemon23
I understand how it 0 where did the 1 come from
pokemon23
  • pokemon23
Nvm now I know why its 0 and 1 because it consecutive integers going by one silly me

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