Question

Resolva a equação e encontre o valor de x que satisfaça essa igualdade.

Answer 1

Explicação passo-a-passo:

$\sf x\cdot x-5\cdot x=-6$

$\sf x^2-5x+6=0$

$\sf \Delta=(-5)^2-4\cdot1\cdot6$

$\sf \Delta=25-24$

$\sf \Delta=1$

$\sf x=\dfrac{-(-5)\pm\sqrt{1}}{2\cdot1}=\dfrac{5\pm1}{2}$

$\sf x'=\dfrac{5+1}{2}~\rightarrow~x'=\dfrac{6}{2}~\rightarrow~x'=3$

$\sf x"=\dfrac{5-1}{2}~\rightarrow~x"=\dfrac{4}{2}~\rightarrow~x"=2$

$\sf S=\{2,3\}$