2018 UNCO Math Contest II Problems/Problem 3

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 $(3x + 4y, 2x + By)$ .

$B=3$

2018 UNCO Math Contest II (Problems • Answer Key • Resources)
Preceded by Problem 2	Followed by Problem 4
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All UNCO Math Contest Problems and Solutions