Question

1) Determine as raízes da função y = x2 - 5x + 6​

Answer 1

Função Quadrática

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Cálculo:

• Coeficientes:

$\boxed{\begin{array}{lr} \large \sf \: a = 1 \\\large \sf b = - 5 \\\large \sf c = 6 \\ \end{array}}$

• Discriminante:

$\boxed{\begin{array}{lr} \\ \large \sf \: \Delta = {b}^{2} - 4ac \\ \\\large \sf \: \Delta = {( - 5)}^{2} - 4 \cdot1 \cdot6 \\ \\ \large \sf \:\Delta = 25 - 24 \\ \\ \boxed{ \red{\large \sf \:\Delta = 1 }} \\ \: \end{array}}$

• Bhaskara:

$\: \boxed{\begin{array}{lr} \large \sf \: x = \dfrac{ - b \pm \: \sqrt{ \Delta} }{2.a} \\ \\ \large \sf \: x = \dfrac{ - ( - 5) \pm \: \sqrt{ 1} }{2.1} \\ \\ \large \sf \: x = \dfrac{ 5\pm \: 1 }{2}\end{array}}$

• Raízes:

$\boxed{ \large \sf \: x_{1} = \dfrac{5 + 1}{2} = \boxed{ \large \sf \red{3}}} \\ \\ \\ \boxed{ \large \sf \: x_{2} = \dfrac{5 - 1}{2} = \boxed{ \large \sf \red{2}}}$

➡️ Resposta:

• $\boxed{ \boxed{ \huge \sf \: S = 3,2}}$

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