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Completing the square x^2 - 5x + 10 = 0

x² - 5x + 6 = 0

this can be rewritten as:

x² - 2x - 3x + 6 = 0

=> x[x - 2] - 3[x - 2] = 0

=> [x - 2][x - 3] = 0

therefore, x = 2 and x = 3

so, the roots of the quadratic equation x² - 5x + 6 = 0 are x = 2 and x = 3.