MathDB
x^2- 10[x] + 9 = 0 (II Soros Olympiad 1995-96 R1 9.4)

Source:

June 2, 2024
algebrafloor function

Problem Statement

Solve the equation x2−10[x]+9=0x^2- 10[x] + 9 = 0.
([x][x] is the integer part of xx, [x][x] is equal to the largest integer not exceeding xx. For example, [3,33]=3[3,33] = 3, [2]=2[2] = 2, [−3.01]=−4[- 3.01] = -4).
Back to ProblemsView on AoPS