SOLUTION: (1 1/2) squared = 1.2 + 1/4 (2 1/2) squared = 2.3 + 1/4 (3 1/2) squared = 3.4 + 1/4 Those are all correct statements. Show algebraically that this method can always be used for

Algebra ->  Equations -> SOLUTION: (1 1/2) squared = 1.2 + 1/4 (2 1/2) squared = 2.3 + 1/4 (3 1/2) squared = 3.4 + 1/4 Those are all correct statements. Show algebraically that this method can always be used for       Log On


   

Question 578016: (1 1/2) squared = 1.2 + 1/4
(2 1/2) squared = 2.3 + 1/4
(3 1/2) squared = 3.4 + 1/4
Those are all correct statements. Show algebraically that this method can always be used for evaluating similar squares.
Found 2 solutions by dfrazzetto, KMST:
Answer by dfrazzetto(283) About Me  (Show Source):
You can put this solution on YOUR website!

None of those statements are true, there is an error in the problem
(1 1/2)^2 = 2.25 ≠ 1.2 + 1/4 = 1.2 + .25 = 1.45
(2 1/2)^2 = 6.25 ≠ 2.3 + 1/4 =2.55


Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Your multiplication middle dots came out as decimal points, and that puzzled us.
%281%261%2F2%29%5E2=1%2A2%2B1%2F4
%282%261%2F2%29%5E2=2%2A3%2B1%2F4
%283%261%2F2%29%5E2=3%2A4%2B1%2F4
%28n%2B1%2F2%29%5E2=n%2A%28n%2B1%29%2B1%2F4