Question

resolva a equação do x²+5X-6=0
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Answer 1

$\sf x^2+5x-6=0\\\\\\\boxed{\sf \mathrm{Adicionar\:}6\mathrm{\:a\:ambos\:os\:lados}}\\\\\\\sf x^2+5x-6+6=0+6\\\\\\\boxed{\sf \mathrm{Simplificar}}\\\\\\\sf x^2+5x=6\\\\\\\sf \left(x+\dfrac{5}{2}\right)^2=\dfrac{49}{4}\\\\\\\boxed{\sf \mathrm{Para\:}f^2\left(x\right)=a\mathrm{\:as\:soluções\:são\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}}\\\\\\\sf x+\dfrac{5}{2}=\sqrt{\dfrac{49}{4}}=1\\\\\\x+\dfrac{5}{2}=-\sqrt{\dfrac{49}{4}}=-6\\\\\\\boxed{\sf S_1=\{1\}}\\\\\boxed{\sf S_2=\{-6\}}$