Question

Resolva a equação usando a fórmula de Bhaskara: 3x² + 5x + 2 = 0

Answer 1

Equação do 2º:

$\mathtt{3x^2+5x+2=0} \\ \\ \mathtt{a = 3} \\ \mathtt{b=5} \\ \mathtt{c = 2} \\ \\ \mathtt{\Delta = b^2-4~.~a~. ~c } \\ \mathtt{\Delta = 5^2-4~.~3~.~2} \\ \mathtt{\Delta = 25-12~.~2} \\ \mathtt{\Delta = 25 -24} \\ \mathtt{\Delta = 1}$

$\mathtt{\dfrac{-b+-~\sqrt{\Delta}}{2~.~a}~~=~~\dfrac{-5+-~\sqrt{1}}{2~.~3}~~=~~\dfrac{-5+-~1}{6}} \\ \\ \\ \mathtt{x'= \dfrac{-5+1}{6}~~=~~-\dfrac{4}{6}~~(\div2)~~=~~-\dfrac{2}{3}} \\ \\ \\ \mathtt{x'' = \dfrac{-5-1}{6}~~=~~-\dfrac{6}{6}~~=~~-1} \\ \\ \\ \boxed{\boxed{\mathtt{Resposta:~~x'=-\dfrac{2}{3}~~~~e~~~~x''=-1}}}$