x²-8x+17=x²-2·4·x+16+1=(x-4)²+1
(x-4)²≥0 при любом х ⇒(x-4)²+1≥1 и ⇒(x-4)²+1>0
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x²-8x+17=x²-2·4·x+16+1=(x-4)²+1
(x-4)²≥0 при любом х ⇒(x-4)²+1≥1 и ⇒(x-4)²+1>0