Question

resolva a equacao: (x+3).(x - 2) =0

Answer 1

(x + 3).(x - 2) = 0

Forma simplificada:
x + 3 = 0
x = - 3

x - 2 = 0
x = 2

R.: x = 2 e x = - 3

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(x + 3).(x - 2) = 0
x² - 2x + 3x - 6 = 0
x² + x - 6 = 0
a = 1; b = 1; c = - 6
Δ = b² - 4ac
Δ = 1² - 4.1.(-6)
Δ = 1 + 24
Δ = 25

x = - b +/-√Δ    = - 1 +/- √25
      -------------     -----------------
            2a                   2.1

x = - 1 + 5
      -----------  = 4/2 = 2
            2

x = - 1 - 5
       --------- = - 6/2 = - 3
            2

R.: x = 2 e x = - 3