Question

Resolva:
-x² + 3/2 x+1=0
Na formula de Baskara

Answer 1

- x² + 3/2 x + 1 = 0      a = - 1   ; b = 3/2    e  c = 1

Δ = (3/2)² - 4 . (-1). 1 = 9/4 + 4 ------> Δ = ( 9 + 16 )/4 =  25/4

x = (- 3/2 +- √25/4)/2. (-1) ---------->  x = (-3/2) +- 5/2)/-2 

x' = ( -3/2 - 5/2)/-2 ---------> x' = (-2/2)/-2 -----> -1/-2 ∴ x' = -1/2 

x" = ( -3/2 + 5/2)/-2 --------> x" = (2/2)/-2 --------> x" = 1/-2 ∴ x" = 1/2