Question

Determine as raízes da função definida por: f(x) = X² - 5X + 6
A) X = 18 e X = 2
B) X = -2 e X = -6
C) X = 2 e X = 20
D) X = 2 e X = 3

Answer 1

➤Para encontrar as raízes de uma

função do segundo grau devemos:

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$\mathsf{f(x)=x^{2}-5x+6}$

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• Identificar seus coeficientes

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$a=\:\:\:\:1$

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$\mathsf{b=-5}$

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$\mathsf{c=\:\:\:\:6}$

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• Encontrar o discriminante

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$\mathsf{\Delta=b^{2}-4.a.c}$

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$\mathsf{(-5)^{2}-4.(1).(6)}$

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$\mathsf{25-24}$

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$\mathsf{1}$

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• Substituir na fórmula de Baskara

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$\mathsf{x'=[-(-5)+\sqrt{1}]/2.(1)}$

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$\mathsf{[5+1]/2}$

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$\mathsf{6/2}$

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$\mathsf{\large{\red{3}}}$

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$\mathsf{x"=[-(-5)-\sqrt{1}]/2.(1)}$

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$\mathsf{[5-1]/2}$

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$\mathsf{4/2}$

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$\mathsf{\large{\red{2}}}$

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Logo as raízes serão : 2 e 3

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