Difference between revisions of "1958 AHSME Problems/Problem 46"
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== Problem == | == Problem == | ||
| − | For values of <math> x</math> less than <math> 1</math> but greater than <math> | + | For values of <math> x</math> less than <math> 1</math> but greater than <math> -4</math>, the expression |
| − | <math>\frac{x^2 | + | <math>\frac{x^2 - 2x + 2}{2x - 2}</math> |
has: | has: | ||
<math> \textbf{(A)}\ \text{no maximum or minimum value}\qquad \\ | <math> \textbf{(A)}\ \text{no maximum or minimum value}\qquad \\ | ||
| − | \textbf{(B)}\ \text{a minimum value of }{ | + | \textbf{(B)}\ \text{a minimum value of }{+1}\qquad \\ |
| − | \textbf{(C)}\ \text{a maximum value of }{ | + | \textbf{(C)}\ \text{a maximum value of }{+1}\qquad \\ |
| − | \textbf{(D)}\ \text{a minimum value of }{ | + | \textbf{(D)}\ \text{a minimum value of }{-1}\qquad \\ |
| − | \textbf{(E)}\ \text{a maximum value of }{ | + | \textbf{(E)}\ \text{a maximum value of }{-1}</math> |
== Solution == | == Solution == | ||
Revision as of 23:22, 13 March 2015
Problem
For values of 
less than 
but greater than 
, the expression
has:
Solution
See Also
| 1958 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 45 |
Followed by Problem 47 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 • 26 • 27 • 28 • 29 • 30 • 31 • 32 • 33 • 34 • 35 • 36 • 37 • 38 • 39 • 40 • 41 • 42 • 43 • 44 • 45 • 46 • 47 • 48 • 49 • 50 | ||
| All AHSME Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
