SOLUTION: find three consecutive even numbers such that the square of the first number decreased by 3 times the second plus the third number is 22

Question 253383: find three consecutive even numbers such that the square of the first number decreased by 3 times the second plus the third number is 22
Answer by palanisamy(496) (Show Source): You can put this solution on YOUR website!
Let the three consecutive even integers be x,x+2 and x+4
Given, the square of the first number decreased by 3 times the second plus the third number is 22
x^2-3(x+2)+(x+4) = 22
x^2-3x-6+x+4 = 22
x^2-2x-24 = 0
(x-6)(x+4) = 0
x = 6 or -4
x cannot be negative.
Therefore x = 6.
So the given numbers are 6,8,10
RELATED QUESTIONS
Find two consecutive positive integers such that the square of the first decreased by 25... (answered by nerdybill)

find two consecutive even integers such that three times the second decreased by the... (answered by stanbon)

3.) Find three consecutive odd numbers such that four times the first number decreased by (answered by ewatrrr)

Find two consecutive even numbers such that 3 times the first,plus 2 times the second, is (answered by dlh)

Find three consecutive even integers such that twice the second plus 3 times the third is (answered by CubeyThePenguin)

Find three consecutive even integers such that the sum of the second and third is equal... (answered by asuar010)

Find two consecutive even integers such that the square of the second, decreased by twice (answered by AnlytcPhil)

Find three consecutive numbers even integers such that three times the first plus six... (answered by CubeyThePenguin)

find three consecutive even numbers such that the sum of first and last number exceeds... (answered by ewatrrr)