Question

determine as soluções reais da equação x²-7x²+12=0 ​

Answer 1

Resposta:

Explicação:

$\displaystyle Aplicando~a~f\'{o}rmula~de~Bhaskara~para~x^{2}-7x+12=0~~e~comparando~com~(a)x^{2}+(b)x+(c)=0,~determinamos~os~coeficientes:~\\a=1{;}~b=-7~e~c=12\\\\C\'alculo~do~discriminante~(\Delta):&\\&~\Delta=(b)^{2}-4(a)(c)=(-7)^{2}-4(1)(12)=49-(48)=1\\\\C\'alculo~das~raizes:&\\x^{'}=\frac{-(b)-\sqrt{\Delta}}{2(a)}=\frac{-(-7)-\sqrt{1}}{2(1)}=\frac{7-1}{2}=\frac{6}{2}=3\\\\x^{''}=\frac{-(b)+\sqrt{\Delta}}{2(a)}=\frac{-(-7)+\sqrt{1}}{2(1)}=\frac{7+1}{2}=\frac{8}{2}=4\\\\S=\{3,~4\}$