Write 4x 2 - 6xy + 2y 2 - 3x + 10y - 6 = 0 as
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Write 4x2 - 6xy + 2y2 - 3x + 10y - 6 = 0 as a quadratic equation in y and then use the quadratic formula to express y in terms of x. Graph the resulting two equations using a graphing utility in a [-50, 70, 10] by [-30, 50, 10] viewing rectangle. What effect does the xy-term have on the graph of the resulting hyperbola? What problems would you encounter if you attempted to write the given equation in standard form by completing the square?
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