Question

Solucione a equação -5ײ-6x-1=0

Answer 1

Resposta:

Explicação passo-a-passo:

-5x²-6x-1=0    ×(-1)

5x²+6x+1=0

$\displaystyle Aplicando~a~f\'{o}rmula~de~Bhaskara~para~5x^{2}+6x+1=0~~\\e~comparando~com~(a)x^{2}+(b)x+(c)=0,~temos~a=5{;}~b=6~e~c=1\\\\\Delta=(b)^{2}-4(a)(c)=(6)^{2}-4(5)(1)=36-(20)=16\\\\x^{'}=\frac{-(b)-\sqrt{\Delta}}{2(a)}=\frac{-(6)-\sqrt{16}}{2(5)}=\frac{-6-4}{10}=\frac{-10}{10}=-1\\\\x^{''}=\frac{-(b)+\sqrt{\Delta}}{2(a)}=\frac{-(6)+\sqrt{16}}{2(5)}=\frac{-6+4}{10}=\frac{-2\div2}{10\div2}=-\frac{1}{5}\\\\S=\{-1,~-\frac{1}{5}\}$