2018 UNCO Math Contest II Problems/Problem 3

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Problem

Find all values of B that have the property that if (x, y) lies on the hyperbola 2y^2-x^2 = 1, then so does the point (3x + 4y, 2x + By).

Solution

$B=3$

See also

2018 UNCO Math Contest II (ProblemsAnswer KeyResources)
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