SOLUTION: Find two consecutive positive even integers such that the square of the second integer summed with the first integer is 40. Write an equation and solve algebraically.

SOLUTION: Find two consecutive positive even integers such that the square of the second integer summed with the first integer is 40. Write an equation and solve algebraically.

Algebra.Com

Question 798200: Find two consecutive positive even integers such that the square of the second integer summed with the first integer is 40. Write an equation and solve algebraically.
Answer by mananth(16946) (Show Source): You can put this solution on YOUR website!
let the positive even consecutive integers be x & x+2
(x+2)^2+x=40
x^2+4x+4+x=40
x^2+5x-36=0
x^2+9x-4x-36=0
x(x+9)-4(x+9)=0
(x+9)(x-4)=0
x= 4
4 & 6
RELATED QUESTIONS
Find two consecutive even integers such that the sum of the first integer and twice the... (answered by ewatrrr)

Find two positive even consecutive integers such that one less than the square of the... (answered by mananth)

find two consecutive positive integers such that the square of the second integer added... (answered by solver91311)

Find two consecutive positive integers such that the square of the second integer added... (answered by algebrapro18)

Find two consecutive positive integers such that the square of the second integer added... (answered by Boreal)

Find two consecutive positive integers such that the square of the second integer added... (answered by Alan3354,LinnW)

find two consecutive positive integers such that the square of the second integer added... (answered by Alan3354)

find 3 consecutive even integers such that two times the first integer, plus two times... (answered by josgarithmetic)

Find three consecutive positive even integers such that the product of the second and... (answered by dabanfield)