2008 CEMC Gauss (Grade 8) Problems/Problem 4
Problem
The value of 
is
Solution 1
Using order of operations, we get:
~anabel.disher
Solution 2
We can notice that 
.
We can now plug in 
for 
and 
for 
to get:
~anabel.disher
Solution 3 (answer choices)
Since 
and all of the numbers involved in the equation are integers, we can notice that the number must be a perfect square after adding 
.
, 
, 
, 
, and 
Of these numbers, the only number that was a perfect square after adding was 
~anabel.disher
| 2008 CEMC Gauss (Grade 8) (Problems • Answer Key • Resources) | ||
| Preceded by Problem 3 |
Followed by Problem 5 | |
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| CEMC Gauss (Grade 8) | ||
