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2012 preRMO p18, x^2 -7[x] +5=0, with floor function
2012 preRMO p18, x^2 -7[x] +5=0, with floor function
Source:
June 17, 2019
algebra
floor function
function
Problem Statement
What is the sum of the squares of the roots of the equation
x
2
−
7
⌊
x
⌋
+
5
=
0
x^2 -7 \lfloor x\rfloor +5=0
x
2
−
7
⌊
x
⌋
+
5
=
0
?
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