Difference between revisions of "2020 AMC 12B Problems/Problem 8"

Latest revision as of 20:28, 12 February 2020

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-==Problem==
+#REDIRECT [[2020 AMC 10B Problems/Problem 9]]
-How many ordered pairs of integers <math>(x,y)</math> satisfy the equation <cmath>x^{2020}+y^2=2y</cmath>
-==Solution==
-Set it up as a quadratic in terms of y:
-<cmath>y^2-2y+x^{2020}=0</cmath>
-Then the discriminant is
-<cmath>\Delta = 4-4x^{2020}</cmath>
-This will clearly only yield real solutions when <math>x^{2020} \leq 1</math>
-==See Also==
-{{AMC12 box|year=2020|ab=B|num-b=7|num-a=9}}
-{{MAA Notice}}