SOLUTION: In an experiment, mr. Jensen gave x+2 beans to each of his x-2 students. If the experiment requires 1596 beans, how many students are in his class?

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Question 752992: In an experiment, mr. Jensen gave x+2 beans to each of his x-2 students. If the experiment requires 1596 beans, how many students are in his class?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
In an experiment, mr. Jensen gave x+2 beans to each of his x-2 students
. If the experiment requires 1596 beans, how many students are in his
class?
:
(x+2)(x-2) = 1596
FOIl
x^2 - 2x + 2x - 4 = 1596
x^2 - 4 = 1596
x^2 = 1596 + 4
x^2 = 1600
x = sqrt%281600%29
x = 40
:
Find the number of students
40 - 2 = 38 students
:
:
Check: 42 beans * 38 student = 1596