SOLUTION: alexei wants to find three consecutive integers such that three times the product of the first and last integers, decreased by 150, is equal to the square of the second integer. Wh

Question 953331: alexei wants to find three consecutive integers such that three times the product of the first and last integers, decreased by 150, is equal to the square of the second integer. Which equation can Alexei use to find the integers?
a. 3x^2+12x-150=x^2+4
b. 3x^2+6x-150=x^2+2x+1
c. 3x^2+12x=x^2+14-146
d. 3x^2+6x=x^2+2x-149
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
find three consecutive integers
x, (x+1), (x+2)
:
such that three times the product of the first and last integers, decreased by 150, is equal to the square of the second integer.
3x(x+2) - 150 = (x+1)^2
distribute on the left, FOIL the right (x+1)(x+1)
3x^2 + 6x - 150 = x^2 +1x + 1x + 1
3x^2 + 6x - 150 = x^2 + 2x + 1; this looks like (b
collect like terms on the left
3x^2 - x^2 + 6x - 2x - 150 - 1 = 0
2x^2 + 4x - 151 = 0
The problem with this is the solutions are not integers
:
RELATED QUESTIONS
Find 3 consecutive integers such that three times the first added to the last is... (answered by CubeyThePenguin)

Find three consecutive integers such that the sum of the first and last is... (answered by Maths68)

find three consecutive odd integers such that three times the sum of the first two... (answered by ankor@dixie-net.com)

find three consecutive odd integers such that 3 times the sum of all three is 18 more... (answered by ankor@dixie-net.com)

Find three consecutive odd positive integers such that two times the sum of all three is... (answered by edjones)

find three consecutive odd positive integers such that 2 times the sum of all three is... (answered by ankor@dixie-net.com)

find three consecutive odd positive integers such that 2 times the sum of all three is 7... (answered by TimothyLamb)

Find three consecutive odd positive integers such that 5 times the sum of all three is 66 (answered by josgarithmetic,MathTherapy)

find three consecutive odd integers such that 3 times the sum of all three is 28 more... (answered by Boreal,MathLover1)