Question

Determine em C, o conjunto solução da equação X² - 6x + 10 =0​

Answer 1

Resposta:

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Answer 2

Resposta:

$Aplicando~a~f\'{o}rmula~de~Bhaskara~para~x^{2}-6x+10=0~~\\e~comparando~com~(a)x^{2}+(b)x+(c)=0,~temos~a=1{;}~b=-6~e~c=10\\\\\Delta=(b)^{2}-4(a)(c)=(-6)^{2}-4(1)(10)=36-(40)=-4\\\\x^{'}=\frac{-(b)-\sqrt{\Delta}}{2(a)}=\frac{-(-6)-\sqrt{-4}}{2(1)}=\frac{6-\sqrt{-1} \sqrt{4}}{2}=\frac{6-i2}{2}=3-i\\\\x^{''}=\frac{-(b)+\sqrt{\Delta}}{2(a)}=\frac{-(-6)+\sqrt{-4}}{2(1)}=\frac{6+\sqrt{-1} \sqrt{4}}{2}=\frac{6+i2}{2}=3+i\\\\\\S=\{3-i,~3+i\}$