Question

® X² + 11x +30=0
me ajude pfv​

Answer 1

Resposta:

Explicação passo a passo:

$\displaystyle Aplicando~a~f\acute{o}rmula~de~Bhaskara~para~x^{2}+11x+30=0~~e~comparando~com~(a)x^{2}+(b)x+(c)=0,~determinamos~os~coeficientes:~\\a=1{;}~b=11~e~c=30\\\\C\acute{a}lculo~do~discriminante~(\Delta):&\\&~\Delta=(b)^{2}-4(a)(c)=(11)^{2}-4(1)(30)=121-(120)=1\\\\C\acute{a}lculo~das~raizes:&\\x^{'}=\frac{-(b)-\sqrt{\Delta}}{2(a)}=\frac{-(11)-\sqrt{1}}{2(1)}=\frac{-11-1}{2}=\frac{-12}{2}=-6$

$\displaystyle x^{''}=\frac{-(b)+\sqrt{\Delta}}{2(a)}=\frac{-(11)+\sqrt{1}}{2(1)}=\frac{-11+1}{2}=\frac{-10}{2}=-5\\\\S=\{-6,~-5\}$