Difference between revisions of "2013 UNCO Math Contest II Problems/Problem 4"

Revision as of 12:57, 4 March 2022

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

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

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 == Problem ==
-Find all real numbers x that satisfy <math>(x^2 - \tfrac{7}{2} x + \tfrac{3}{2} )^{(x^2+7x+10)}= 1.</math>
+Find all real numbers <math>x</math> that satisfy <math>(x^2 - \tfrac{7}{2} x + \tfrac{3}{2} )^{(x^2+7x+10)}= 1.</math>
 == Solution ==

2013 UNCO Math Contest II (Problems • Answer Key • Resources)
Preceded by Problem 3	Followed by Problem 5
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10
All UNCO Math Contest Problems and Solutions