Question

Exercícios
Resolva as equações do segundo grau. .
a) x² - 6x +5=0​

Answer 1

Resposta:

Explicação passo-a-passo:

$\displaystyle Aplicando~a~f\acute{o}rmula~de~Bhaskara~para~x^{2}-6x+5=0~~e~comparando~com~(a)x^{2}+(b)x+(c)=0,~determinamos~os~coeficientes:~\\a=1{;}~b=-6~e~c=5\\\\C\acute{a}lculo~do~discriminante~(\Delta):&\\&~\Delta=(b)^{2}-4(a)(c)=(-6)^{2}-4(1)(5)=36-(20)=16\\\\C\acute{a}lculo~das~raizes:&\\x^{'}=\frac{-(b)-\sqrt{\Delta}}{2(a)}=\frac{-(-6)-\sqrt{16}}{2(1)}=\frac{6-4}{2}=\frac{2}{2}=1\\\\x^{''}=\frac{-(b)+\sqrt{\Delta}}{2(a)}=\frac{-(-6)+\sqrt{16}}{2(1)}=\frac{6+4}{2}=\frac{10}{2}=5\\\\S=\{1,~5\}$