What are the zeros of the polynomial equation f(x)=x^2-12x+20?

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19-06-2018
Mathematics

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What are the zeros of the polynomial equation f(x)=x^2-12x+20?

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gmany gmany · Answer 1 · 2018-06-28T21:33:48+02:00

gmany gmany

28-06-2018

[tex]f(x)=x^2-12x+20\\\\\text{The zeros:}\\\\f(x)=0\to x^2-12x+20=0\\\\x^2-10x-2x+20=0\\\\x(x-10)-2(x-10)=0\\\\(x-10)(x-2)=0\iff x-10=0\ \vee\ x-2=0\\\\\boxed{x=10\ \vee\ x=2}[/tex]

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