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 $B$ 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
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