Question

GENTE PRESCISO QUE ALGUEM HOJE ME FALE QUANTO É x²-5x+2=0?

Answer 1

Resposta:

$\textsf{Leia abaixo}$

Explicação passo-a-passo:

$\mathsf{x^2 - 5x + 2 = 0}\rightarrow\begin{cases}\mathsf{a = 1}\\\mathsf{b = -5}\\\mathsf{c = 2}\end{cases}$

$\mathsf{\Delta = b^2 - 4.a.c}$

$\mathsf{\Delta = (-5)^2 - 4.1.2}$

$\mathsf{\Delta = 25 - 8}$

$\mathsf{\Delta = 17}$

$\mathsf{x = \dfrac{-b \pm \sqrt{\Delta}}{2a} = \dfrac{5 \pm \sqrt{17}}{2} \rightarrow \begin{cases}\mathsf{x' = \dfrac{5 + \sqrt{17}}{2}}\\\\\mathsf{x'' = \dfrac{5 - \sqrt{17}}{2}}\end{cases}}$

$\boxed{\boxed{\mathsf{S = \{\dfrac{5 + \sqrt{17}}{2};\dfrac{5 - \sqrt{17}}{2}\}}}}$