Question

as raizes da equacao x elevado 2 -5x+6=0

Answer 1

Olá.

$\mathsf{x^{2} - 5x + 6 = 0}$

$\mathsf{\triangle = b^{2} - 4ac} \\ \\ \mathsf{\triangle = 25 -  4 \times 1 \times 6} \\ \\ \mathsf{\triangle = 1}$

$\mathsf{x = \dfrac{-b \pm \sqrt{\triangle}}{2a} = \dfrac{5 \pm 1}{2}} \\ \\ \\ \mathsf{x_{1} = \dfrac{5 + 1}{2} = 3} \\ \\ \\ \mathsf{x_{2} = \dfrac{5 - 1}{2} = 2}$

$\boxed{\boxed{\boxed{\mathsf{S = \{2, 3\}}}}}$

Bons estudos.