Difference between revisions of "1958 AHSME Problems/Problem 33"
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== Problem == | == Problem == | ||
− | For one root of <math> ax^2 | + | For one root of <math> ax^2 + bx + c = 0</math> to be double the other, the coefficients <math> a,\,b,\,c</math> must be related as follows: |
− | <math> \textbf{(A)}\ 4b^2 | + | <math> \textbf{(A)}\ 4b^2 = 9c\qquad |
− | \textbf{(B)}\ 2b^2 | + | \textbf{(B)}\ 2b^2 = 9ac\qquad |
− | \textbf{(C)}\ 2b^2 | + | \textbf{(C)}\ 2b^2 = 9a\qquad \\ |
− | \textbf{(D)}\ b^2 | + | \textbf{(D)}\ b^2 - 8ac = 0\qquad |
− | \textbf{(E)}\ 9b^2 | + | \textbf{(E)}\ 9b^2 = 2ac</math> |
== Solution == | == Solution == |
Latest revision as of 23:21, 13 March 2015
Problem
For one root of to be double the other, the coefficients must be related as follows:
Solution
See Also
1958 AHSC (Problems • Answer Key • Resources) | ||
Preceded by Problem 32 |
Followed by Problem 34 | |
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All AHSME Problems and Solutions |
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