Question

Calcule: -x² - x + 30 = 0

Answer 1

$\large{\underbrace{Equa\c c \tilde{a}o~quadr\acute{a}tica}}$

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$\boxed{Passo 1:}$

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• identificar os coeficientes

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$\sf{a=-1}$

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$\sf{b=-1}$

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$\sf{c=\:30}$

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$\boxed{Passo 2:}$

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• Calcular o discriminante

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

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$\sf{\Delta=(-1)^{2}-4.(-1).(30)}$

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$\sf{\Delta=1+120}$

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$\sf{\Delta=121}$

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$\boxed{Passo 3:}$

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• Encontrar suas raízes

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$\sf{x'=[-(-1)+\sqrt{121}]/2.(-1)}$

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$\sf{x'=[1+11]/-2}$

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$\sf{x'=12/-2}$

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$\red{\sf{x'=-6}}$

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$\sf{x"=[-(-1)-\sqrt{121}]/2.(-1)}$

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$\sf{x"=[1-11]/-2}$

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$\sf{x"=-10/-2}$

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$\red{\sf{x"=\:5}}$

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• As raízes serão : -6 e 5

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