Difference between revisions of "2018 UNCO Math Contest II Problems/Problem 3"
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== Problem == | == Problem == | ||
− | Find all values of B that have the property that if (x, y) lies on the hyperbola 2y^2-x^2 = 1, | + | Find all values of <math>B</math> that have the property that if <math>(x, y)</math> lies on the hyperbola <math>2y^2-x^2 = 1</math>, |
− | then so does the point (3x + 4y, 2x + By). | + | then so does the point <math>(3x + 4y, 2x + By)</math>. |
== Solution == | == Solution == |
Revision as of 13:05, 2 January 2020
Problem
Find all values of that have the property that if lies on the hyperbola , then so does the point .
Solution
See also
2018 UNCO Math Contest II (Problems • Answer Key • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
All UNCO Math Contest Problems and Solutions |