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MathNet 1999 — Part 01 Question 32

Math Olympiad Vault · MathNet 1999 — Part 01

Question 32

Find all real solutions to the equation $4x^{2} - 40[x] + 51 = 0$.
Here, if $x$ is a real number, then $[x]$ denotes the greatest integer that is less than or equal to $x$.