Minimum value of the expression $f (x) = x^{2} - 2 x + 6$ is __.

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Solution

$f (x) = x^{2} - 2 x + 6$

a = 1, b = -2, c = 6

As a > 0, Minimum value occur at $x = \frac{- b}{2 a}$

$= 1$

Minimum value = f(1) = 1 - 2 + 6

= 5

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