Question

qual e a soma dos quadrados das raizes da equacao 3x²-2x-5=0​

Answer 1

$\Box \ \ \boxed{\begin{array}{l}\sf 3x^2-2x-5=0\end{array}}\\\\\\\Box \ \ \boxed{\begin{array}{l}\sf a=3 \end{array}}\\\Box \ \ \boxed{\begin{array}{l}\sf b=-2 \end{array}}\\\Box \ \ \boxed{\begin{array}{l}\sf c=-5 \end{array}}$

$\Box \ \ \boxed{\begin{array}{l}\sf \Delta=b^2-4.a.c \end{array}}\\\Box \ \ \boxed{\begin{array}{l}\sf \Delta=(-2)^2-4.3.-5 \end{array}}\\\Box \ \ \boxed{\begin{array}{l}\sf \Delta=4+60\end{array}}\\\Box \ \ \boxed{\begin{array}{l}\sf \Delta=64 \end{array}}$

$\Box \ \ \boxed{\begin{array}{l}\sf x=\frac{-b\pm\sqrt{\Delta}}{2.a} \end{array}}\\\Box \ \ \boxed{\begin{array}{l}\sf x=\frac{2\pm8}{2.3} \end{array}}\\\Box \ \ \boxed{\begin{array}{l}\sf x=\frac{2\pm8}{6} \end{array}}\\\\\\\\\Box \ \ \boxed{\begin{array}{l}\sf x'=\frac{2+8}{6} \end{array}}\boxed{\begin{array}{l}\sf x'=\frac{10}{6} \end{array}}$

$\Box \ \ \boxed{\begin{array}{l}\sf x''=\frac{2-8}{6} \end{array}}\boxed{\begin{array}{l}\sf x''=\frac{6}{6} \end{array}}\boxed{\begin{array}{l}\sf x''=1 \end{array}}$

Resposta correta;

$S=\{1 \ ,\frac{10}{6} \}$

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