Question

32. Determine as raízes das equações utilizando a fórmula resolutiva.

D)
$\frac{1}{4}x ^{2} + \frac{5}{4}x - 6 = 0$
me ajudemmm prfvv :))

Answer 1

1/4x² + 5/4x - 6 = 0

∆ = (5/4)² - 4.1/4.(- 6)
∆ = 25/16 + 6
∆ = 121/16


x' = - 5/4 + 11/4/2/4
x' = 6/4/2/4
x' = 6/2 = 3


x'' = - 5/4 - 11/4/2/4
x'' = - 16/4/2/4
x'' = - 16/2 = - 8


S = {- 8, 3}