An algebra problem by Aman Saurav
Algebra
Level
3
If "x" is a real number , then which of the following cannot be the arithmetic mean of 4x-3 , 2x+1 ,and 3x+4
4x-3
3x-2
7x-4
2x+1
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1 solution
A M = 3 4 x − 3 + 2 x + 1 + 3 x + 4 = 3 x + 3 2 . If we set this expression equal to the four others we will see that the only one that doesnt produce a solution is 3 x − 2 because the numbers before x are equal and thus substracting them results in simplification .