Difference between revisions of "1956 AHSME Problems/Problem 46"
(Created page with "== Solution == Simplify. <cmath> Cross Multiply</cmath> <cmath> N + N X = ( 1 - x ) ( N + 1)</cmath> <cmath>6 = -2\sqrt{x-3}</cmath> The answer is <math>\boxed{A}.</math> -ru...") |
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| Line 1: | Line 1: | ||
== Solution == | == Solution == | ||
Simplify. | Simplify. | ||
| − | <cmath> Cross Multiply</cmath> | + | <cmath> Cross Multiply</cmath> |
<cmath> N + N X = ( 1 - x ) ( N + 1)</cmath> | <cmath> N + N X = ( 1 - x ) ( N + 1)</cmath> | ||
| − | <cmath> | + | <cmath> Expand the Brackets </cmath> |
| + | <cmath> N + N X = N + 1 - N X - X </cmath> | ||
| + | Simplify Again | ||
| + | X = 1 / 2 N X | ||
The answer is <math>\boxed{A}.</math> | The answer is <math>\boxed{A}.</math> | ||
-rubslul | -rubslul | ||
Revision as of 05:15, 8 March 2021
Solution
Simplify.
![\[Cross Multiply\]](http://latex.artofproblemsolving.com/1/0/7/1071fdcec3cc046f38b9dd8622a661cce5836432.png)
![\[N + N X = ( 1 - x ) ( N + 1)\]](http://latex.artofproblemsolving.com/b/9/a/b9af160f0daefa91ea26e9f0f1d2c456f009db07.png)
![\[Expand the Brackets\]](http://latex.artofproblemsolving.com/3/0/4/304bd6b028744db62689a841a4470d6522dbf123.png)
![\[N + N X = N + 1 - N X - X\]](http://latex.artofproblemsolving.com/0/1/7/0174c7c49a7955422d1f1efb7c26fc6159447268.png)
Simplify Again
X = 1 / 2 N X
The answer is 
-rubslul
