SOLUTION: Hi I need help with my homework. The question is:
Find all pairs of consecutive integers such that the prodct of the two integers is 2 less than 2 times their sum.
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Find all pairs of consecutive integers such that the prodct of the two integers is 2 less than 2 times their sum.
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Question 530481: Hi I need help with my homework. The question is:
Find all pairs of consecutive integers such that the prodct of the two integers is 2 less than 2 times their sum. Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website! Find all pairs of consecutive integers such that the prodct of the two integers is 2 less than 2 times their sum.
.
Let x = first of two consecutive integers
then
x+1 = second consecutive integer
.
Then from: "the product of the two integers is 2 less than 2 times their sum"
we get
x(x+1) = 2(x + x+1) - 2
x^2+x = 2(2x+1) - 2
x^2+x = 4x+2 - 2
x^2+x = 4x
x^2-3x = 0
x(x-3) = 0
x = {0,3}
.
Solution:
0 and 1
3 and 4
