Difference between revisions of "1954 AHSME Problems/Problem 24"
Katzrockso (talk | contribs) (Created page with "== Problem 24== The values of <math>k</math> for which the equation <math>2x^2-kx+x+8=0</math> will have real and equal roots are: <math> \textbf{(A)}\ 9\text{ and }-7\qqua...") |
|||
| Line 7: | Line 7: | ||
== Solution == | == Solution == | ||
<math>b^2-4ac=0\implies b^2=4ac\implies (1-k)^2=4(2)(8)\implies (1-k)^2=8^2\implies 1-k=8\implies k=-7, 1-k=-8\implies k=9</math>, <math>\fbox{A}</math> | <math>b^2-4ac=0\implies b^2=4ac\implies (1-k)^2=4(2)(8)\implies (1-k)^2=8^2\implies 1-k=8\implies k=-7, 1-k=-8\implies k=9</math>, <math>\fbox{A}</math> | ||
| + | |||
| + | ==See Also== | ||
| + | |||
| + | {{AHSME 50p box|year=1954|num-b=23|num-a=25}} | ||
| + | |||
| + | {{MAA Notice}} | ||
Latest revision as of 00:29, 28 February 2020
Problem 24
The values of 
for which the equation 
will have real and equal roots are:
Solution
, 
See Also
| 1954 AHSC (Problems • Answer Key • Resources) | ||
| Preceded by Problem 23 |
Followed by Problem 25 | |
| 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. 
