SOLUTION: Solve each problem Consecutive even integers. If the product of two consecutive even integers is 34 larger than their sum, then what are the integers?

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Question 164287This question is from textbook
: Solve each problem
Consecutive even integers.
If the product of two consecutive even integers is 34 larger than their sum, then what are the integers? This question is from textbook

Answer by themathprof(21) About Me  (Show Source):
You can put this solution on YOUR website!
Solve with 4 parts: Setup, Equation, Solve, Return to Part 1
Part I Setup
x=1st even integer
x+2=2nd even integer
Part II Equation
Product (x)(x+2) is (=) 34 larger than sum (x+x+2 + 34)
x(x+2)=x+x+2+34
Part III Solve
x%5E2%2B2x=2x%2B36
x%5E2%2B2x-2x-36=0
x%5E2-36=0
(x-6)(x+6)=0
x-6=0 | x+6=0
x=6 | x=-6
1st even is 6 or 1st even is -6
Part IV
Return to Part I and
replace with answers
x=1st even integer =6
x+2=2nd even integer=6+2=8
or
x=1st even integer=-6
x+2=2nd even integer=-6+2=-4
Prof Martin Weissman
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