SOLUTION: Find four consecutive positive integers such that the product of the first and the fourth is four less than twice the first multiplied by the fourth

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Find four consecutive positive integers such that the product of the first and the fourth is four less than twice the first multiplied by the fourth      Log On


   

Question 551548: Find four consecutive positive integers such that the product of the first and the fourth is four less than twice the first multiplied by the fourth
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the integers be x, x+1, x+2, x+3
x(x+3)=2x(x+3)-4
x^2+3x=2x^2+6x-4
x^2+3x-4=0
x^2+4x-x-4=0
x(x+4)-1(x+4)=0
(x+4)(x-1)=0
x=1 which is positive
1,2,3,4