Question

Resolva em R a equação 3x² – x – 2 = 0 *

S = {3, 4}
s = {5, 7}
s = { 1, -2/3}
s = { 7,8}​

Answer 1

Resposta:

s={1, -2/3}

Explicação passo a passo:

$\displaystyle Aplicando~a~f\acute{o}rmula~de~Bhaskara~para~3x^{2}-1x-2=0~~e~comparando~com~(a)x^{2}+(b)x+(c)=0,~determinamos~os~coeficientes:~\\a=3{;}~b=-1~e~c=-2\\C\acute{a}lculo~do~discriminante~(\Delta):&\\&~\Delta=(b)^{2}-4(a)(c)=(-1)^{2}-4(3)(-2)=1-(-24)=25\\C\acute{a}lculo~das~raizes:&\\x^{'}=\frac{-(b)-\sqrt{\Delta}}{2(a)}=\frac{-(-1)-\sqrt{25}}{2(3)}=\frac{1-5}{6}=\frac{-4\div2}{6\di}=-\frac{2}{3}\\\\x^{''}=\frac{-(b)+\sqrt{\Delta}}{2(a)}=\frac{-(-1)+\sqrt{25}}{2(3)}=\frac{1+5}{6}=\frac{6}{6}=1$