Qual a raiz da função f(x)=x^2 -8x+20 ?.... Pergunta de ideia deJessicah

Jessicah @Jessicah

April 2020 1 99 Report

Qual a raiz da função f(x)=x^2 -8x+20 ?

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Comentários Para calcular as raízes, determinamos os valores de $\text{x}$ quando $\text{y}=\text{f}(\text{x})=0$ .

Assim, $\text{x}^2-8\text{x}-20=0$ .

Note que, $\text{a}=1, \text{b}=-8$ e $\text{c}=-20$ .

Então, $\text{x}=\dfrac{-(-8)\pm\sqrt{(-8)^2-4\cdot1\cdot(-20)}}{2\cdot1}=\dfrac{8\pm12}{2}$

Logo, as raízes dessa função são:

$\text{x}'=\dfrac{8+12}{2}=10$

$\text{x}"=\dfrac{8-12}{2}=-2$

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