Question

Qual é o valor do x 1 linha e x 2 linha: X^{2}-3x-10=

Answer 1

Resposta:

Explicação passo-a-passo:

$Aplicando~a~f\'{o}rmula~de~Bhaskara~para~x^{2}-3x-10=0~~\\e~comparando~com~(a)x^{2}+(b)x+(c)=0,~temos~a=1{;}~b=-3~e~c=-10\\\\\Delta=(b)^{2}-4(a)(c)=(-3)^{2}-4(1)(-10)=9-(-40)=49\\\\x^{'}=\frac{-(b)-\sqrt{\Delta}}{2(a)}=\frac{-(-3)-\sqrt{49}}{2(1)}=\frac{3-7}{2}=\frac{-4}{2}=-2\\\\x^{''}=\frac{-(b)+\sqrt{\Delta}}{2(a)}=\frac{-(-3)+\sqrt{49}}{2(1)}=\frac{3+7}{2}=\frac{10}{2}=5\\\\S=\{-2,~5\}$