Question

5x2-3x-2=0 conta completa

Answer 1

Resolução da questão pela fórmula de Bhaskara, observe:

[tex]5x^{2}-3x-2=0\\\\\\\\\ x = -b~\pm~\dfrac{ \sqrt{b^{2}-4~.~a~.~c}}{2~.~a}}\\\\\\ x = 3~\pm~\dfrac{ \sqrt{(-3)^{2}-4~.~5~.~(-2)}}{2~.~5}}\\\\\\\ x = 3~\pm~\dfrac{ \sqrt{9+40}}{10}}\\\\\\\ x = 3~\pm~\dfrac{ \sqrt{49}}{10}}\\\\\\\ x = 3~\pm~\dfrac{7}{10}\\\\\\ x' = \dfrac[3+7}{10}~x' = \dfrac{10}{10}~\therefore~x' = 1.\\\\\\\ x'' = \dfrac{3-7}{10}\\\\\\ x'' = \dfrac{-4}{10}~\therefore~x'' = \dfra{-2}{5}.

Espero que te ajude :).

Answer 2

5x² - 3x - 2 = 0

a = 5; b = -3; c = -2

x = [- b ± √(b² - 4ac)] / 2a
x = [- (-3) ± √([-3]² - 4 . 5 . [-2])] / 2 . 5
x = [3 ± √(9 + 40)] / 10
x = [3 ± √49] / 10
x = [3 ± 7] / 10
x' = [3 + 7] / 10 = 10 / 10 = 1
x'' = [3 - 7] / 10 = -4 / 10 (simplificando ambos por 2) = -2 / 5 = -0,4

Espero ter ajudado. Valeu!