2013 UNCO Math Contest II Problems/Problem 4

Problem

Find all real numbers x that satisfy $(x^2 - \tfrac{7}{2} x + \tfrac{3}{2} )^{(x^2+7x+10)}= 1.$

$x=1,-2,-5,\tfrac{7\pm\sqrt{41}}{4}$

2013 UNCO Math Contest II (Problems • Answer Key • Resources)
Preceded by Problem 3	Followed by Problem 5
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All UNCO Math Contest Problems and Solutions